How do you solve (1/4)^x=64? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer MG May 3, 2018 x=-3 Explanation: (1/4)^x=64 1/4^x=64 1=64*4^x 1=4^3*4^x 1/4^3=4^x 4^-3=4^x -3=x 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 7435 views around the world You can reuse this answer Creative Commons License