Question

Equação exponencial: 9^x+3 = 27^x

Answer 1

$9^{x+3}=27^x\\ \\ (3^2)^{x+3}=(3^3)^x\\ \\ 3^{2(x+3)}=3^{3x}\\ \\ 2(x+3)=3x\\ \\ 2x+6=3x\\ \\ \boxed{x=6}$

Answer 2

9^x+3=27^x => (3^2)^x+3=(3^3)^x => 3^2x+6=3^3x => 2x+6=3x => 2x-3x=-6 => -x=-6 => x=6