Question

Evaluate the expression without using a calculator logbase5 (1/25)

Answer 1

Hey there! :)

Answer:

㏒
`_(5)` (1/25) = -2.

Explanation:

Starting with:

㏒
`_(5)` (1/25) =

We can rewrite this expression as:

`5^(x) = 1/25`

1/25 is equivalent to
`5^(-2)`, therefore:

`5^(x) = 5^(-2)`

x = -2.

Therefore, ㏒
`_(5)` (1/25) = -2.