How do you solve e^(5x + 1) = 40? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Alan P. Oct 23, 2015 x ~= 0.53778 Explanation: Given color(white)("XXX")e^(5x+1) = 40 Therefore color(white)("XXX")5x+1 = ln(40) Using a calculator: ln(40) ~= 3.6889 color(white)("XXX")5x+1 ~= 3.6889 color(white)("XXX")x ~= 0.53778 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 2415 views around the world You can reuse this answer Creative Commons License