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 1112 views around the world You can reuse this answer Creative Commons License