Question

1/2 . Log x na base 3 = 2 . Log 10 na base 3 - log 4 na base 3

Answer 1

Olá, Camila.

$\frac12\log_3x=2\log_310-\log_34\Rightarrow\log_3x^{\frac12}=\log_310^2-\log_34\Rightarrow\\\\ \log_3\sqrt x=\log_3\frac{10^2}4\Rightarrow\sqrt x=\frac{100}4\Rightarrow x=25^2\Rightarrow\boxed{x=625}$