If `9^(2x+1) = (81^(x+2))/3^x` what is x?

1 Answer | Add Yours

mjripalda's profile pic

Posted on


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` .

We’ve answered 323,871 questions. We can answer yours, too.

Ask a question