Question

Resolva a equacao log3 pequeno 2+log3 pequeno (x-5)=2

Answer 1

Admitindo-se que o "3 pequeno" mencionado seja a base do logaritmo, temos:

$log_{_3}2~+~log_{_3}(x-5)~=~2\\\\\\Aplicando-se~a~propriedade~do~logaritmo~do~produto\\ log_{_b}a+log_{_b}c=log_{_b}(a.c):\\\\\\log_{_3}2.(x-5)~=~2\\\\\\log_{_3}(2x-10)~=~2\\\\\\(2x-10)~=~3^2\\\\\\2x~=~9+10\\\\\\\boxed{x~=~\frac{19}{2}~~ou~~9,5}$