How do you write an equation of a line going through #16^(5x)= 64^(x+7)#? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer ali ergin Jun 21, 2016 #x=3# Explanation: #16^(5x)=64^(x+7) ?# #2^(4(5x))=2^(6(x+7))# #4(5x)=6(x+7)# #20x=6x+42# #20x-6x=42# #14x=42# #x=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 1125 views around the world You can reuse this answer Creative Commons License