Solve for x: 81^5x^2 * (1/9)^2x =27

Answer 1

Rudy, your problem statement is ambiguous because of a lack of parentheses. check out the Wyzant Resource “Math: You Need Parentheses” and see if you need more. For example, I’m guessing at a different problem than Jon guessed at.

81⁵x²⁽1/9)²x = 27

81³x³ = 27

taking cube roots

81x= 3

x = 3/81 = 1/27

if you wanted Jon’s interpretation to be unambiguous, you needed to pose it as:

81^(5x^2)*(1/9)^(2x)=27

Answer 2

Assuming your asking to solve for x when 81^{5x^2}(1/9)^2x=27, the solution is x = -0.3,0.5.