Question

Solve the log equation for x.​

Answer 1

x = 5

Explanation:

using the rule of logarithms

`log_(b)` x = n , then x =
`b^(n)`

given

`log_(x)`
`(1)/(125)` = - 3 , then
`(1)/(125)` =
`x^(-3)`

note that
`(1)/(125)` =
`5^(-3)` , so

`5^(-3)` =
`x^(-3)`

since the exponents are equal, both - 3 then the bases are equal , so

x = 5