Question

Solve the following equations ${\log }_3[5+4{\log }_3(x-1\left)\right]=2$

Answer 1

${\log }_3[5+4{\log }_3(x-1\left)\right]=2$ $\Rightarrow 5+4{\log }_3(x-1)=9\Rightarrow {\log }_3(x-1)=1\Rightarrow x-1=3\Rightarrow x=4.$