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