How do you solve 5(2^y)=3-(2^(y+2))? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Cesareo R. May 29, 2016 y =-log_2 3 Explanation: 5times 2^y-3+4times2^y=0->9times 2^y-3=0. Applying logarithm to both sides y log_e 2=log_e(1/3). Solving for y y = (log_e(1/3))/(log_e 2) = -log_2 3 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 1015 views around the world You can reuse this answer Creative Commons License