Question

Please help and explain! I will fan and give medals!

What is the solution for the equation 9^(2x) = (1/81)^(3+x)

-2/3
-3/2
3
6

Answer 1

start with the fact that \(\frac{1}{81}=9^{-2}\)

Answer 2

so you have
\[9^{2x}=9^{-2(3+x)}\] and then solve
\[2x=-2(3+x)\]