For the following statements write T if they are true, and F if they are false. To avoid cumbersome sentences it is tacitly understood that logarithms have the same base, and are applied to the appropriate terms. We also assume that all logarithms are evaluated at positive numbers.
For example, a more precise version of the first sentence would be: The logarithm with a certain base of the product of two positive numbers equals the sum of the logarithms with the same base of those two numbers.

The logarithm of a product equals the sum of the logarithms.
The logarithm of a quotient equals the difference of the logarithms.
The logarithm of a power equals the product of the exponent and the logarithm of the base (of the power).