How do you solve #2^(3x+5)=128#? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Sonnhard May 25, 2018 #x=2/3# Explanation: Notice that #128=2^7# so #2^(3x+5)=2^7# thus #3x+5=7# #3x=2# #x=2/3# 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 3936 views around the world You can reuse this answer Creative Commons License