Question

What is 9^(x+3)=27

Answer 1

well rewrite the left side

\[(3^2)^{(x +3)} = 3^3\]

using the power of a power index law its

\[3^{2(x + 3)} = 3^3\]

now you have the same base, you can equate the powers

\[2(x + 3) = 3\]

now you just need to solve for x.

hope it helps