Question

How would I solve 1/5=125^x

Answer 1

Hi there,

This question is a bit weird lol, but anyway here is how to do it and the answer:

1/5 = 123² x
1/5 = 15625x
15625x = 1/5

Hence, X = 1/5

Hope this helps :)

Answer 2

This is a log equation. To solve

125^x = 1/5
x log 125 = log 1/5
x = log (1/5) /  log 125
$x = -\frac{1}{3}$

To show that we are correct. Input -1/3 for x $125^{-1/3}$ with a calculator and it will = 1/5, meaning it is correct.

$125^{-1/3} = \frac{1}{5}$