How do you solve (1/9)^m=81^(m+4)? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Alberto P. Oct 26, 2016 m=-8/3 Explanation: 3^(-2m)=(3^4)^(m+4) 3^(-2m)=3^(4m+16) -2m=4m+16 6m=-16 m=-8/3 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 2183 views around the world You can reuse this answer Creative Commons License