How do you solve #2^(3x-2)=4^x#? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer ali ergin Mar 29, 2016 #x=2# Explanation: #2^(3x-2) =4^x# #color(red)(2)^(3x-2)=color(red)(2)^(2x)# #"equation has the same base value"# #3x-2=2x# #3x-2x=2# #x=2# 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 1123 views around the world You can reuse this answer Creative Commons License