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 2056 views around the world You can reuse this answer Creative Commons License