Question

Alguem pode me ajudar?
3 elevado a (x-1)+3 elevado a (x+1) =90

Answer 1

$3^{x-1}+3^{x+1}=90\\\\3^x*3^{-1}+3^x*3^1}=90\\\\3^x*(3^{-1}+3^1)=90\\\\3^x*(\frac{1}{3}+3)=90\\\\3^x*(\frac{1+9}{3})=90\\\\3^x*\frac{10}{3}=90\\\\3^x=90*\frac{3}{10}\\\\3^x=27\\\\3^x=3^3\\\\x=3$