Expand the logarithmic expression.

log5 (7) a^5

A. log57 • 5log5a

B. log57 + 5log5a

C. 7log5a^5

D. log57 - 5log5a

The answer for the exercise shown above is the option B, which is:

B. log5 (7) + 5log5 (a)

The explanation of the problem is shown below:

1. You have the following expression given in the problem above:

log5 (7) (a^5)

2. To expand it, you must use the logaritms properties, as following:

log5 (7) (a^5)

log5 (7) + log5 (a^5)

log5 (7) + 5log5 (a)

3. Therefore, as you can see, the answer is the option B.