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`27^(4x-1)=9^(3x+8)` Solve the equation.

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Lix Lemjay eNotes educator | Certified Educator

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To solve, factor the 9 and 27.


To simplify each side, apply the exponent rule `(a^m)^n=a^(m*n)` .



Since both sides have the same base, to solve for the value of x, set the exponent at the left equal to the exponent at the right.





Therefore, the solution is  `x = 19/6` .

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