Question

Calcule o logaritmo, log3 ^raiz de 27 (conforme a imagem)

Answer 1

$log_3\ \sqrt{27}=x \\ \\ \\ 3^x = \sqrt{3^3} \\ \\ \\ 3^x = 3^{\frac{3}{2}} \\ \\ \\ \boxed{x = \frac{3}{2}}$

Answer 2

$log_3 \sqrt{27}=x \\ \\ 3^x= \sqrt{27} \\ \\ 3^x= \sqrt{3^3} \\ \\ 3^x=3^{(\frac{3}{2})} \\ \\ x= \frac{3}{2}$



$S=\{ \frac{3}{2}\}$