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 2450 views around the world You can reuse this answer Creative Commons License