5 to the power of x equals 1 over 125. Simplify answer.
1/125 would mean x is negative. -5 x -5 x -5 = -125 Meaning x = -3
if aⁿ=aˣ, wher a=a, then assume that n=x
so
\(5^x= \frac{1}{125}\)
remember that \(x^{-m}= \frac{1}{x^m}\)
so
\(\frac{1}{125}= \frac{1}{5^3}=5^{-3}\)
5^x=5^-3
x=-3