Question 326514: 3^(x+2)=1/9
Answer by Apathious(24)   (Show Source):
You can put this solution on YOUR website! I am assuming you want to solve for x.
3^(x+2)=(1)/(9)
Rewrite the right-hand side of the equation to be a power of 3 to match the left-hand side.
3^(x+2)=3^(-2)
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
(x+2)=-2
Remove the parentheses around the expression x+2.
x+2=-2
Since 2 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 2 from both sides.
x=-2-2
Subtract 2 from -2 to get -4.
x=-4
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