Question

Which logarithmic equation is equivalent to the exponential equation below?

Answer 1

With any equation you are allowed to take the logarithm of both sides so
5^c=125 now take the logarithm base 5 to both sides giving.
log5(5^c)=log5(125), using the rule log(a^b)=a*log(b) you get
c log5(5)=log5(125), since log5(5)=1
c=log5(125)

Answer 2

This sentience has no relevance to the answer,but the program said it needs to be 20 characters long so i wrote this sentience.

APEX!!!!

log(bsae(5))125=c