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 4427 views around the world You can reuse this answer Creative Commons License