Question

Resolva a equação logarítmica: log 1/3 (x-1) = -2

Answer 1

$\mathrm{\log_{\frac{1}{3}}{(x-1)}=-2\ \to\ \log_{\frac{1}{3}}{(x-1)}=\log_{\frac{1}{3}}{9}}\\\\ \mathrm{x-1=9\ \to\ x=9+1}\ \to\ \mathbf{x=10}$