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 1663 views around the world You can reuse this answer Creative Commons License