Question

Simplify : i attatched an image

Answer 1

The answer is D. When you have an exponent in a log, you can take the exponent down:

5 * logBASE4(4)

When you have a log base to the same number as the base, it’s always 1.

5*1 is .

Answer 2

For this case we have the following function:
(log4 (4 ^ 5))
Applying properties of logarithm we have:
loga (a ^ x) = x
Therefore, for this case we have:
(log4 (4 ^ 5)) = 5
Answer
The equivalent expression in this case is:
5
option D