Question

What is an equivalent exponential equation? log5(1/25)=−2

Answer 1

$\log_ab=c\iff a^c=b\\\\\log_5\dfrac{1}{25}=-2\iff5^{-2}=\dfrac{1}{25}\\\\5^{-2}=\dfrac{1}{5^2}=\dfrac{1}{25}$