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

Expert Answers

An illustration of the letter 'A' in a speech bubbles


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` .

Approved by eNotes Editorial Team