Question

Resolva o logaritmo:

[8/125]^x=5/2

Answer 1

$\left(\frac{8}{125}\right)^x=\frac{5}{2}\\ \\\left(\frac{8}{125}\right)^x=\left(\frac{2}{5}\right)^{-1}\\\\\left(\frac{2^3}{5^3}\right)^x=\left(\frac{2}{5}\right)^{-1}\\\\\left(\left(\frac{2}{5}\right)^3\right)^x=\left(\frac{2}{5}\right)^{-1}\\\\\left(\frac{2}{5}\right)^{3*x}=\left(\frac{2}{5}\right)^{-1}\\\\3x = -1\\\\x=-\frac{1}{3}$