How do you solve e^(5x) = 8? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Name ยท Alan P. Apr 15, 2016 x=0.416 Explanation: Take the natural logarithm of each side ln(e^(5x))=ln8 5x=ln8=2.079 x=0.416 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 4434 views around the world You can reuse this answer Creative Commons License