Document:

<PAGE>

THE WARRANTS REPRESENTED BY THIS CERTIFICATE AND THE OTHER SECURITIES ISSUABLE
UPON EXERCISE THEREOF MAY NOT BE OFFERED OR SOLD EXCEPT PURSUANT TO (i) AN
EFFECTIVE REGISTRATION STATEMENT UNDER THE SECURITIES ACT OF 1933, AS AMENDED,
(ii) TO THE EXTENT APPLICABLE, RULE 144 UNDER SUCH ACT (OR ANY SIMILAR RULE
UNDER SUCH ACT RELATING TO THE DISPOSITION OF SECURITIES), OR (iii) AN OPINION
OF COUNSEL, IF SUCH OPINION SHALL BE REASONABLY SATISFACTORY TO COUNSEL FOR THE
ISSUER, THAT AN EXEMPTION FROM REGISTRATION UNDER SUCH ACT IS AVAILABLE.

THE TRANSFER OR EXCHANGE OF THE WARRANTS REPRESENTED BY THIS CERTIFICATE IS
RESTRICTED IN ACCORDANCE WITH THE WARRANT AGREEMENT REFERRED TO HEREIN.

                            EXERCISABLE ON OR BEFORE
                    5:00 P.M., NEW YORK TIME, April 22, 2004
No. W-06                                                        139,575 Warrants

                              WARRANT CERTIFICATE

         This Warrant Certificate certifies that Dirks & Company, Inc., or
registered assigns, is the registered holder of 139,575 Warrants to purchase
initially, at any time from April 22, 2000 until 5:00 p.m. New York time on
April 22, 2004 ("Expiration Date"), up to 139,575 Shares of common stock, $.01
par value ("Common Stock") of LOG ON AMERICA, INC., a Delaware corporation (the
"Company"), at the initial exercise price, subject to adjustment in certain
events (the "Exercise Price"), of $16.50 per Share upon surrender of this
Warrant Certificate and payment of the Exercise Price at an office or agency of
the Company, or by surrender of this Warrant Certificate in lieu of cash
payment, but subject to the conditions set forth herein and in the warrant
agreement dated as of April 22, 1999 between the Company and Dirks & Company,
Inc. (the "Warrant Agreement"). Payment of the Exercise Price shall be made by
certified or official bank check in New York Clearing House funds payable to the
order of the Company or by surrender of this Warrant Certificate.

         No Warrant may be exercised after 5:00 p.m., New York time, on the
Expiration Date, at which time all Warrants evidenced hereby, unless exercised
prior thereto, hereby shall thereafter be void.

         The Warrants evidenced by this Warrant Certificate are part of a duly
authorized issue of Warrants issued pursuant to the Warrant Agreement, which
Warrant Agreement is hereby incorporated by reference in and made a part of this
instrument and is hereby referred to for a description of the lights, limitation
of rights, obligations, duties and immunities thereunder of the Company and the
holders (the words "holders" or "holder" meaning the registered holders or
registered holder) of the Warrants.

                                       1

<PAGE>

         The Warrant Agreement provides that upon the occurrence of certain
events the Exercise Price and the type and/or number of the Company's securities
issuable thereupon may, subject to certain conditions, be adjusted. In such
event, the Company will, at the request of the holder, issue a new Warrant
Certificate evidencing the adjustment in the Exercise Price and the number
and/or type of securities issuable upon the exercise of the Warrants, provided,
however, that the failure of the Company to issue such new Warrant Certificates
shall not in any way change, alter, or otherwise impair, the rights of the
holder as set forth in the Warrant Agreement.

         Upon due presentment for registration of transfer of this Warrant
Certificate at an office or agency of the Company, a new Warrant Certificate or
Warrant Certificates of like tenor and evidencing in the aggregate a like number
of Warrants shall be issued to the transferee(s) in exchange for this Warrant
Certificate, subject to the limitations provided herein and in the Warrant
Agreement, without any charge except for any tax or other governmental charge
imposed in connection with such transfer.

         Upon the exercise of less than all of the Warrants evidenced by this
Certificate, the Company shall forthwith issue to the holder hereof a new
Warrant Certificate representing such Warrant.

         The Company may deem and treat the registered holder(s) hereof as the
absolute owner(s) of this Warrant Certificate (notwithstanding any notation of
ownership or other writing hereon made by anyone), for the purpose of any
exercise hereof, and of any distribution to the holder(s) hereof, and for all
other purposes, and the Company shall not be affected by any notice to the
contrary.

         All terms used in this Warrant Certificate which are defined in the
Warrant Agreement shall have the meanings assigned to them in the Warrant
Agreement.

         IN WITNESS WHEREOF, the Company has caused this Warrant Certificate to
be duly executed under its corporate seal.

Dated as of March 15, 2000

                                                      LOG ON AMERICA, INC.

[SEAL]                                By: /s/ David R. Paolo
                                         ---------------------------------------
                                           David R. Paolo
                                           President and Chief Executive Officer

Attest:

/s/ Raymond E. Paolo
---------------------
Raymond E. Paolo
Secretary

                                       2

<PAGE>

            [FORM OF ELECTION TO PURCHASE PURSUANT TO SECTION 3.11]

         The undersigned hereby irrevocably elects to exercise the light,
represented by this Warrant Certificate, to purchase _____________ Shares and
herewith tenders in payment for such securities a certified or official bank
check payable in New York Clearing House Funds to the order of Log On America,
Inc. in the amount of $_____________, all in accordance with the terms of
Section 3.1 of the Representative's Warrant Agreement dated as of
_______________, 1999 between Log On America, Inc. and Dirks & Company, Inc. The
undersigned requests that certificates for such securities be registered in the
name of whose address is ___________________ and that such certificates be
delivered to __________________ whose address is ____________________.

Dated:

                             Signature _________________________________________
                             (Signature must conform in all respects to name of
                             holder as specified on the face of the Warrant
                             Certificate.)

                             ___________________________________________________
                             (Insert Social Security or Other Identifying Number
                             of Holder)

                                        3
<PAGE>

                              [FORM OF ASSIGNMENT]

            (To be executed by the registered holder if such holder
                 desires to transfer the Warrant Certificate.)

         FOR VALUE RECEIVED ___________________________ Hereby sells, assigns
and transfers unto ____________________________________________________________.

                 (Please print name and address of transferee)

this Warrant Certificate, together with all right, title and interest therein,
and does hereby irrevocably constitute and appoint __________________ Attorney,
to transfer the within Warrant Certificate on the books of the within-named
Company, with full power of substitution.

Dated:_______________________________    Signature:_____________________________
                                         (Signature must conform in all respects
                                         to name of holder as specified on the
                                         face of the Warrant Certificate.)

                                       4<PAGE>

THE WARRANTS REPRESENTED BY THIS CERTIFICATE AND THE OTHER SECURITIES ISSUABLE
UPON EXERCISE THEREOF MAY NOT BE OFFERED OR SOLD EXCEPT PURSUANT TO (i) AN
EFFECTIVE REGISTRATION STATEMENT UNDER THE SECURITIES ACT OF 1933, AS AMENDED,
(ii) TO THE EXTENT APPLICABLE, RULE 144 UNDER SUCH ACT (OR ANY SIMILAR RULE
UNDER SUCH ACT RELATING TO THE DISPOSITION OF SECURITIES), OR (iii) AN OPINION
OF COUNSEL, IF SUCH OPINION SHALL BE REASONABLY SATISFACTORY TO COUNSEL FOR THE
ISSUER, THAT AN EXEMPTION FROM REGISTRATION UNDER SUCH ACT IS AVAILABLE.

THE TRANSFER OR EXCHANGE OF THE WARRANTS REPRESENTED BY THIS CERTIFICATE IS
RESTRICTED IN ACCORDANCE WITH THE WARRANT AGREEMENT REFERRED TO HEREIN.

                            EXERCISABLE ON OR BEFORE
                    5:00 P.M., NEW YORK TIME, April 22, 2004

No. W-02                                                         35,000 Warrants

                              WARRANT CERTIFICATE

         This Warrant Certificate certifies that Jessy W. Dirks, or registered
assigns, is the registered holder of 35,000 Warrants to purchase initially, at
any time from April 22, 2200 until 5:00 p.m. New York time on April 22, 2004
("Expiration Date"), up to 35,000 Shares of common stock, $.01 par value
("Common Stock") of LOG ON AMERICA, INC., a Delaware corporation (the
"Company"), at the initial exercise price, subject to adjustment in certain
events (the "Exercise Price"), of $16.50 per Share upon surrender of this
Warrant Certificate and payment of the Exercise Price at an office or agency of
the Company, or by surrender of this Warrant Certificate in lieu of cash
payment, but subject to the conditions set forth herein and in the warrant
agreement dated as of April 22, 1999 between the Company and Dirks & Company,
Inc. (the "Warrant Agreement"). Payment of the Exercise Price shall be made by
certified or official bank check in New York Clearing House funds payable to the
order of the Company or by surrender of this Warrant Certificate.

         No Warrant may be exercised after 5:00 p.m., New York time, on the
Expiration Date, at which time all Warrants evidenced hereby, unless exercised
prior thereto, hereby shall thereafter be void.

         The Warrants evidenced by this Warrant Certificate are part of a duly
authorized issue of Warrants issued pursuant to the Warrant Agreement, which
Warrant Agreement is hereby incorporated by reference in and made a part of this
instrument and is hereby referred to for a description of the rights, limitation
of rights, obligations, duties and immunities thereunder of the Company and the
holders (the words "holders" or "holder" meaning the registered holders or
registered holder) of the Warrants.

<PAGE>

         The Warrant Agreement provides that upon the occurrence of certain
events the Exercise Price and the type and/or number of the Company's securities
issuable thereupon may, subject to certain conditions, be adjusted. In such
event, the Company will, at the request of the holder, issue a new Warrant
Certificate evidencing the adjustment in the Exercise Price and the number
and/or type of securities issuable upon the exercise of the Warrants; provided,
however, that the failure of the Company to issue such new Warrant Certificates
shall not in any way change, alter, or otherwise impair, the rights of the
holder as set forth in the Warrant Agreement.

         Upon due presentment for registration of transfer of this Warrant
Certificate at an office or agency of the Company, a new Warrant Certificate or
Warrant Certificates of like tenor and evidencing in the aggregate a like number
of Warrants shall be issued to the transferee(s) in exchange for this Warrant
Certificate, subject to the limitations provided herein and in the Warrant
Agreement, without any charge except for any tax or other governmental charge
imposed in connection with such transfer.

         Upon the exercise of less than all of the Warrants evidenced by this
Certificate, the Company shall forthwith issue to the holder a new Warrant
Certificate representing such Warrant.

         The Company may deem and treat the registered holder(s) hereof as the
absolute owner(s) of this Warrant Certificate (notwithstanding any notation of
ownership or other writing hereon made by anyone), for the purpose of any
exercise hereof, and of any distribution to the holder(s) hereof, and for all
other purposes, and the Company shall not be affected by any notice to the
contrary.

         All terms used in this Warrant Certificate which are defined in the
Warrant Agreement shall have the meanings assigned to them in the Warrant
Agreement.

                                       2

<PAGE>

         IN WITNESS WHEREOF, the Company has caused this Warrant Certificate to
be duly executed under its corporate seal.

Dated as of April 22, 1999

                                        LOG ON AMERICA, INC.

[SEAL]                                  By: /s/ David R. Paolo
                                           -------------------------------------
                                           David R. Paolo
                                           President and Chief Executive Officer

Attest:

/s/ Raymond E. Paolo
---------------------
Raymond E. Paolo
Secretary

                                       3

<PAGE>

             [FORM OF ELECTION TO PURCHASE PURSUANT TO SECTION 3.1]

         The undersigned hereby irrevocably elects to exercise the right,
represented by this Warrant Certificate, to purchase ___________ Shares and
herewith tenders in payment for such securities a certified or official bank
check payable in New York Clearing House Funds to the order of Log On America,
Inc. in the amount of $___________, all in accordance with the terms of Section
3.1 of the Representative's Warrant Agreement dated as of ___________, 1999
between Log On America, Inc. and Dirks & Company, Inc. The undersigned requests
that certificates for such securities be registered in the name of _____________
______________________ whose address is __________________________________ and
that such certificates be delivered to ______________________ whose address is
__________________________________.

Dated:

                                  Signature:____________________________________
                                  (Signature must conform in all respects to
                                  name of holder as specified on the face of the
                                  Warrant Certificate.)

                                  ______________________________________________
                                                (Insert Social Security or Other
                                                Identifying Number of Holder)

                                       4

<PAGE>

             [FORM OF ELECTION TO PURCHASE PURSUANT TO SECTION 3.2]

         The undersigned hereby irrevocably elects to exercise the right,
represented by this Warrant Certificate, to purchase ___________ Shares all in
accordance with the terms of Section 3.2 of the Representative's Warrant
Agreement dated as of ___________, 1999 between Log On America, Inc. and Dirks &
Company, Inc. The undersigned requests that certificates for such securities be
registered in the name of ______________________ whose address is ______________
__________________________________ and that such certificates be delivered to
______________________ whose address is __________________________________.

Dated:

                                  Signature:____________________________________
                                  (Signature must conform in all respects to
                                  name of holder as specified on the face of the
                                  Warrant Certificate.)

                                  ______________________________________________
                                                (Insert Social Security or Other
                                                Identifying Number of Holder)

                                       5
<PAGE>

                              [FORM OF ASSIGNMENT]

            (To be executed by the registered holder if such holder
                 desires to transfer the Warrant Certificate.)

         FOR VALUE RECEIVED _______________ hereby sells, assigns and transfers
unto

________________________________________________________________________________
                 (Please print name and address of transferee)

this Warrant Certificate, together with all right, title and interest therein,
and does hereby irrevocably constitute and appoint _______________ Attorney, to
transfer the within Warrant Certificate on the books of the within-named
Company, with full power of substitution.

Dated:___________________         Signature:____________________________________
                                  (Signature must conform in all respects to
                                  name of holder as specified on the face of the
                                  Warrant Certificate.)

                                  ______________________________________________
                                                (Insert Social Security or Other
                                                Identifying Number of Holder)

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