How do you solve e^-x = 0.04? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Michael Oct 23, 2015 By taking natural logs of both sides: Explanation: e^(-x)=0.04 Taking natural logs rArr lne^(-x)=ln(0.04) -xcancel(lne)=-3.219 x=3.219 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 2714 views around the world You can reuse this answer Creative Commons License