How do you solve #5^(3x)=342#? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Bdub Apr 21, 2016 #x=ln 342/ (3ln5)~~1.21# Explanation: #ln 5^(3x)=ln 342# #3x ln5=ln 342# #3x=ln 342/ ln5# #x=ln 342/ (3ln5)~~1.21# 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 912 views around the world You can reuse this answer Creative Commons License