How do you evaluate log_x(1/36)= -(2/3)? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Bdub Mar 10, 2016 x=216 Explanation: x^(-2/3) =1/36 x^(-2/3) =6^-2 (x^(-2/3))^(-3/2) =(6^-2)^(-3/2) x=6^3=216 Answer link Related questions What is a logarithmic model? How do I use a logarithmic model to solve applications? What is the advantage of a logarithmic model? How does the Richter scale measure magnitude? What is the range of the Richter scale? How do you solve 9^(x-4)=81? How do you solve logx+log(x+15)=2? How do you solve the equation 2 log4(x + 7)-log4(16) = 2? How do you solve 2 log x^4 = 16? How do you solve 2+log_3(2x+5)-log_3x=4? See all questions in Logarithmic Models Impact of this question 3870 views around the world You can reuse this answer Creative Commons License