How do you solve log(x-5)=-2log(x−5)=−2? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Ratnaker Mehta Jul 18, 2016 x=5.01x=5.01. Explanation: By defn. of loglog function, logt=m iff t=10^mlogt=m⇔t=10m :. 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 1417 views around the world You can reuse this answer Creative Commons License