Question

Someone please explain this to me because I seriously don't get it.

Answer 1

2.5

Explanation:

We are given that
`\log _(4) (2)= 0.5`

32 is a power of 2

32 =
`2^5`

So, we can rewrite
`\log _(4) (32)` as
`\log _(4) (2^5)`

A property of logs is that
`\log x^n = n \log x`

So,
`\log_(4)(2^5) = 5\log_(4)2=5*0.5 = 2.5`