Question

Sabendo que log a = log 10 a.

Se log a + log a elevado 2 = 3. Quanto vale a?

Answer 1

$log\,a~+~log\,a^2~=~3\\\\\\Utilizando~a~propriedade~do~logaritmo~do~expoente,~temos:\\\\\\log\,a~+~2.log\,a~=~3\\\\\\3.log\,a~=~3\\\\\\log\,a~=~\frac{3}{3}\\\\\\log\,a~=~1\\\\\\a~=~10^1\\\\\\\boxed{a~=~10}$