# How do you solve 3^(x-2)=27?

May 23, 2015

${3}^{x - 2} = 27$

27 can be written as ${3}^{3}$

${3}^{x - 2} = {3}^{3}$
at this stage exponents can be equated

$x - 2 = 3$

color(blue)( x = 5 is the solution for the expression.