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.