Final answer to the problem
Step-by-step Solution
Specify the solving method
Change the logarithm to base $x$ applying the change of base formula for logarithms: $\log_b(a)=\frac{\log_x(a)}{\log_x(b)}$
Learn how to solve equations problems step by step online.
$\frac{\log_{64}\left(64\right)}{\log_{64}\left(x\right)}=5$
Learn how to solve equations problems step by step online. Find the roots of logx(64)=5. Change the logarithm to base x applying the change of base formula for logarithms: \log_b(a)=\frac{\log_x(a)}{\log_x(b)}. If the argument of the logarithm (inside the parenthesis) and the base are equal, then the logarithm equals 1. Take the reciprocal of both sides of the equation. Any expression divided by one (1) is equal to that same expression.