How do you solve #2.5 = ln(x)#? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Bill K. Jul 29, 2015 #x=e^{2.5}approx 12.1825# Explanation: #log_{b}(c)=d# is equivalent to #b^{d}=c# Since #ln(x)=log_{e}(x)#, #ln(x)=2.5# is equivalent to #e^{2.5}=x# 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 9242 views around the world You can reuse this answer Creative Commons License