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If `9^(2x+1) = (81^(x+2))/3^x` what is x?
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High School Teacher
Since 9=3^2 and 81=3^4, express the equation with same base.
Apply the exponent property `(a^m)^n=a(^m*n)` .
Then at the right side of the equation, apply the property `a^m/a^n=a^m-n` .
Since both sides have the same base, to solve for x, equate the exponents equal to each other.
Hence, the solution to the given equation is `x=6` .
Posted by mjripalda on July 3, 2013 at 4:57 AM (Answer #1)
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