Question

Resolva 9x-1=1/3 e calcule o logaritmo de base 2 do valor encontrado para x.

Answer 1

$9x-1=\dfrac{1}{3}\Rightarrow 9x=\dfrac{1}{3}+1\Rightarrow 9x=\dfrac{1+3}{3}\Rightarrow 9x=\dfrac{4}{3}\Rightarrow x=\dfrac{4}{27}\\ \\ \\ log_2 x=log_2 \dfrac{4}{27}=log_2 4-log_2 27=2-log_2 3^{3}=2-\left(3\cdot log_2 3\right)=\\ \\ \\ 2-\left(3\cdot 1,58\right)=2-4,75=-2,75$