Question

2(3)^2x=5
solve. on a page about logarithms

Answer 1

\[\large 2(3)^{2x}=5\]



\[\large (3)^{2x}=\frac{5}{2}\]



\[\large 2x=\log_{3}\left(\frac{5}{2}\right)\]



\[\large x=\frac{\log_{3}\left(\frac{5}{2}\right)}{2}\]