Question

Log b 5 = 1/4..... what is log b 25 =?? fyi, b is the base a random variable..

Answer 1

`log_b 25 = 1/2`

Explanation:

We know that `25 = 5^2`, hence:

`log_b (5^2) = A`

`2log_b 5 = A`

`log_b 5 = A/2`

Given that `log_b 5 = 1/4`, we can say

`1/4 = A/2`

`A = 1/2`

Therefore, `log_b 25 = 1/2`.

Hopefully this helps