How do you solve #2e^x-1=11#? Precalculus Properties of Logarithmic Functions Natural Logs 1 Answer Trevor Ryan. Sep 20, 2016 #x=ln6# Explanation: #2e^x-1=11# #therefore 2e^x=12# #therefore e^x=6# #therefore lne^x=ln6# #therefore xlne=ln6# #therefore x=ln6# Answer link Related questions What is the natural log of e? What is the natural log of 2? How do I do natural logs on a TI-83? How do I find the natural log of a fraction? What is the natural log of 1? What is the natural log of infinity? Can I find the natural log of a negative number? How do I find a natural log without a calculator? How do I find the natural log of a given number by using a calculator? How do I do natural logs on a TI-84? See all questions in Natural Logs Impact of this question 3648 views around the world You can reuse this answer Creative Commons License