Question

resolva a equação exponencial:
$(\frac{2}{3}) x^{} = 2,25$

Answer 1

$( \dfrac{2}{3} )^{x} =2,25$

$( \dfrac{2}{3} )^{x} = \dfrac{225}{100}$

$( \dfrac{2}{3} )^{x} = \dfrac{225:25}{100:25}$

$( \dfrac{2}{3} )^{x} = \dfrac{9}{4}$

$( \dfrac{2}{3} )^{x} = \dfrac{ 3^{2} }{ 2^{2} }$

$( \dfrac{2}{3} )^{x} = ( \dfrac{3}{2} )^{2}$

$( \dfrac{2}{3} )^{x} = ( \dfrac{2}{3} )^{-2}$

$x=-2$