Question

Equação exponencial:
27/3^x=81

Answer 1

$\dfrac{27}{3^{x}}=81$

$\dfrac{3^3}{3^{x}}=3^4$

$3^{3-x}=3^4$

$3-x=4$

$x=3-4$

$x=-1$

Answer 2

$\frac{27}{3^x}=81\\ \\ 3^x=\frac{27}{81}\\ \\ 3^x=\frac{3^3}{3^4}\\ \\ 3^x=3^{-1}\\ \\ \boxed{x=-1}$