How do you solve 100e^(-0.6x)=20? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Junaid Mirza Nov 16, 2016 x =-0.767 Explanation: 100e^(-0.6x)=20 e^(-0.6x)=20/100=0.2 Applying natural log on both sides log_ee^(-0.6x)=log_e0.2 -0.6xlog_ee=log_e0.2 -0.6x=2.303xx0.2 x=-0.767 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 4764 views around the world You can reuse this answer Creative Commons License