SOLUTION: I have tried to figure this equation but it doesn't come out with the right answer. Please can you help me? 9^x = 1/3sqrt 3

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Question 130716This question is from textbook
: I have tried to figure this equation but it doesn't come out with the right answer. Please can you help me?
9^x = 1/3sqrt 3 This question is from textbook

Answer by cngriffith(27) About Me  (Show Source):
You can put this solution on YOUR website!
Rewrite as (3^2)^x=1/3(3^1/2)
power to power: multiply exponents: 3^2x=1/3(3^1/2)
multiply both sides by 3: 3(3^2x)=1/3(3^1/2)(3)
like bases -add exponents 3^2x+1=3^1/2
equate exponents 2x+1=1/2
solve equation x=-1/4