How do you solve #4 log (x-2) = 7#? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer sahar del Mar 4, 2018 #x=10^(7/4)+2# Explanation: #log(x-2)^4=7# #(x-2)^4=10^7# #x-2=±root(4)10^7# #x-2=±10^(7/4)# #x=10^(7/4)+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 2021 views around the world You can reuse this answer Creative Commons License