Question

Resolver a equação esponencial (2/5)∧x-1 = 125/8Obs: ∧significa que o x-1 é um expoente

Answer 1

$\left( \dfrac{5}{2}\right)^{x-1} = \dfrac{125}{8}\\\\ \left( \dfrac{5}{2}\right)^{x-1}=\left( \dfrac{5^3}{2^3} \right)\\\\ \left( \dfrac{5}{2}\right)^{x-1}=\left( \dfrac{5}{2} \right)^3\\\\ \left( \dfrac{\not5}{\not2}\right)^{x-1}= \left( \dfrac{\not5}{\not2}\\\\ \right)^{3}\\\\ x-1=3\\\\ \boxed{x=4} \\\\\\ \huge\boxed{\text{S}=\{4\}}$