Learn how to solve problems step by step online. Solve the logarithmic equation log5*x(25)=1. Decompose 25 in it's prime factors. Change the logarithm to base 10 applying the change of base formula for logarithms: \log_b(a)=\frac{\log_{10}(a)}{\log_{10}(b)}. Since \log_{10}(b)=\log(b), we don't need to write the 10 as base. Take the reciprocal of both sides of the equation. Multiply both sides of the equation by \log \left(25\right).

Solve the logarithmic equation log5*x(25)=1