How do you solve 45 = e^x ? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Alan P. Dec 8, 2015 x=ln(45) Explanation: By definition: color(white)("XXX")ln a = c hArr e^c = a (memorize this) So color(white)("XXX")e^x=45 hArr ln 45 Using a calculator ln 45 ~= 3.81 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 1730 views around the world You can reuse this answer Creative Commons License