How do you solve #3^(4logx) = 5#? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Noah G Oct 29, 2016 #x = 10^(log5/log81)# Explanation: #log(3^(4logx)) = log5# #(4logx)log3 = log5# #4logx = log5/log3# #logx = (log5/log3)/4# #logx = log5/log81# #x = 10^(log5/log81)# Hopefully this helps! 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 1948 views around the world You can reuse this answer Creative Commons License