Assertion: logarithm | /r/HasProperty | equal
Facets:
value: to the logarithm of the numerator
type: OTHER
value: to the sum
type: OTHER
value: similarly
type: DEGREE
value: to the power times
type: OTHER
value: again,
type: DEGREE
Source sentences:
text: In words, the first three can be remembered as: The log of a product is equal to the sum of the logs of the factors.
text: The logarithm of a product is equal to the sum
text: The log of a quotient is equal to the difference between the logs of the numerator and demoninator.
text: The log of a power is equal to the power times the log of the base.
text: If two logs with the same base are equal, then the arguments must be equal.
text: Similarly, the log of the quotient of two numbers is equal to the difference of the logs of those number (again, as long as the logs have the same base).
text: If we write the left side as a single log, we can use the rule that if the logs are equal, the quantity inside must be equal.
text: Since the logs are equal, what is inside must be equal.
text: The logarithm of a quotient is equal to the logarithm of the numerator
text: The logarithm of a product is equal to the sum
text: The logarithm of a quotient is equal to the logarithm of the numerator
text: The logarithm of x with a rational exponent is equal to
text: If two logarithms with the same argument are equal, then the bases must be equal.