How do you solve \frac { 1} { 9} = 9^ { 4x }? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Monzur R. Apr 6, 2018 x=-1/4 Explanation: 1/9=9^(4x) But 1/9=9^-1 So 9^-1=9^(4x)rArr-1=4xrArrx=-1/4 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 1158 views around the world You can reuse this answer Creative Commons License