Question

Solve:$\frac{\log x}{\log 3}=\frac{\log 25}{\log 9}$

Answer 1

given, $\frac{\log x}{\log 3}=\frac{\log 25}{\log 9}$

$\Rightarrow \log x=\frac{\log 25}{\log 9}\times \log 3$

$\Rightarrow \log x=\frac{\log 5^2}{\log 3^2}\times \log 3$

$\Rightarrow \log x=\frac{2}{2}\frac{\log 5}{\log 3}\times \log 3$

$\Rightarrow \log x=\log 5$

$\therefore x=5$