Question

Solve the log equation for x.​

Answer 1

Answer:

x = 5

Step-by-step explanation:

using the rule of logarithms

$log_{b}$ x = n , then x = $b^{n}$

given

$log_{x}$ $\frac{1}{125}$ = - 3 , then $\frac{1}{125}$ = $x^{-3}$

note that $\frac{1}{125}$ = $5^{-3}$ , so

$5^{-3}$ = $x^{-3}$

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

x = 5