How do you solve #log(x-5)=-2#? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Ratnaker Mehta Jul 18, 2016 #x=5.01#. Explanation: By defn. of #log# function, #logt=m iff t=10^m# #:. log(x-5)=-2 rArr x-5=10^-2=0.01# #:. x=5+0.01=5.01#. 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 1192 views around the world You can reuse this answer Creative Commons License