How do you solve #7 (2^x) = 5^(x-2)#? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer A. S. Adikesavan Mar 30, 2016 x = #log 175/log 2.5# Explanation: #5^(x-2) = 5^x5^(-2)= 5^x/5^2=5^x/25#. So, #5^x/2^x=175#. #(5/2)^x.= 175#. #x log 2.5 = log 175# #x=log 175 /log 2.5# 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 982 views around the world You can reuse this answer Creative Commons License