If 2^(2w) = 8^(w−4), what is the value of w? Choose the correct choice:
A) 3
B) 6
C) 9
D) 12
E) 15

Rationale: 2 ^ ( 2 w ) = 8 ^ ( w − 4 ) 2 ^ ( 2 w ) = 2 ^ ( 3 * ( w − 4 ) ) 2 ^ ( 2 w ) = 2 ^ ( 3 w - 12 ) let ' s equate the exponents as the bases are equal . 2 w = 3 w - 12 w = 12 the answer is d .
Answer: D