`3^(3x-7)=81^(12-3x)` Solve the equation.

Expert Answers

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To solve, factor 81.


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


`3^(3x-7)= 3^(48-12x)`

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=11/3` .

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