Question

Como resolver a equação exponencial 4x = ∛32
me ajudem por favoooooooor :c

Answer 1

Olá Carlos.

$4^x= \sqrt[3]{32} \\ (2^x)^2= \sqrt [3] {2^5} \\ \\ 2^{2x}= 2^\frac{5}{3}\\ 2x= \frac{5}{3} \\ x= \frac{5}{3} . \frac{1}{2}\\ \\ x= \frac{5}{6}$

Answer 2

$4^x = \sqrt[3]{32} \\\\\ 4^x = 32^\frac{1}{3}\\\\ 32 = 2^5\\\\\ 4^x = 2^2^x\\\\\ 2^2^x = 2^\frac{5}{3}\\\\\ 2x = \frac{5}{3}\\\\\ \boxed{x=\frac{5}{6}}$