Question

qual valor de x na seguinte equacao exponencial 16 elevado a x = raiz de 32 elevado a 3

Answer 1

$\displaystyle \mathsf{16^x = \sqrt{32^3}}\\ \\ \displaystyle \mathsf{(2^4)^x = \sqrt{(2^5)^3}}\\ \\ \displaystyle \mathsf{2^{4x} = \sqrt{2^{15}}}\\ \\ \displaystyle \mathsf{2^{4x} = 2^{\frac{15}{2}}}\\ \\ \displaystyle \mathsf{4x = \frac{15}{2}}\\ \\ \displaystyle \mathsf{8x = 15}\\ \\ \displaystyle \mathsf{x = \frac{15}{8}}$

Resposta: 15/8