How do you solve #Log(5(2^x)) = log(3-2^(x+2))#? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer A. S. Adikesavan Apr 22, 2016 #x = log 3/log 2#/ Explanation: Equating the arguments, #5( 2^x)=3-2^(x+2 )= 3-2^x2^2 =3-4( 2^x)# So, #2^x=3# and. #x log 2 = log 3# #x=log 3/log 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 1004 views around the world You can reuse this answer Creative Commons License