Question

sole the equation
log(5)^x=6

Answer 1

... apply laws of logs
log x^y = y log x...

Answer 2

If we have
\[
(\log(5))^x=6
\]Then:
\[
\log((\log(5))^x)=\log(6)
\]That is:
\[
x\log(\log(5))=\log(6)
\]Which gives us:
\[
x=\frac{\log(6)}{\log(\log(5))}
\]