Answer:
x = - 2
Step-by-step explanation:
Given
2 × [tex]3^{x}[/tex] = [tex]\frac{2}{9}[/tex] ( divide both sides by 2 )
[tex]3^{x}[/tex] = [tex]\frac{1}{9}[/tex] = [tex]\frac{1}{3^2}[/tex] = [tex]3^{-2}[/tex]
Since the bases on both sides are equal, then equate the exponents, that is
x = - 2
