# indices problem

• Oct 11th 2010, 04:23 AM
mastermin346
indices problem
Solve the equation $27(9^{x+1}) = \frac{1}{81}$
• Oct 11th 2010, 04:27 AM
emakarov
Step 1. Divide both sides by 27.

Step 2. Express both sides as powers of 3. Note that $(3^2)^a=3^{2a}$ and $3^{-a}=1/(3^a)$.

Step 3. Equate the powers of 3 from the two sides.