Question

como se faz:

(2/3)^x=2.25

Answer 1

$(\frac{2}{3})^x=2,25\\ \\ (\frac{2}{3})^x=\frac{225}{100}\\ \\ (\frac{2}{3})^x=\frac{9}{4}\\ \\ (\frac{2}{3})^x=\frac{3^2}{2^2}\\ \\ (\frac{2}{3})^x=(\frac{3}{2})^2\\ \\ (\frac{2}{3})^x=(\frac{2}{3})^{-2}\\ \\ x=-2$