
5;\quad \log_3x(x-5)=\log_36\\
x>5;\quad x^2-5x=6\\
x>5;\quad x^2-5x-6=0\\
\boxed{x=6}" alt="\log_3(x-5)+\log_3x=\log_36\\
x>5;\quad \log_3x(x-5)=\log_36\\
x>5;\quad x^2-5x=6\\
x>5;\quad x^2-5x-6=0\\
\boxed{x=6}" align="absmiddle" class="latex-formula">