Question

What is the value of the power a if5^a =1/125

Answer 1

Answer: a = - 3

Explanation:

Given
`5^(a) = (1)/(125)` ,

we can rearrange the equation to solve for a on one side:

`5^(a) = (1)/(125)\\log_5(5^(a)) = log_5 ((1)/(125))\\a=log_5 ((1)/(125))\\\\a=-3`