How do you solve for x in 1000 = 20e^(x/4)? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Shwetank Mauria Apr 9, 2016 x=15.648 Explanation: 1000=20*e^(x/4) or e^(x/4)=1000/20=50 Taking log with base e of both sides gives us, x/4=ln50=3.912 and x=3.912xx4=15.648 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 2185 views around the world You can reuse this answer Creative Commons License