How do you solve #2e^x-1=0#? Precalculus Properties of Logarithmic Functions Natural Logs 1 Answer Hriman Jun 11, 2018 #x= ln(1/2)# Explanation: #2e^x-1=0# #2e^x=1# #e^x=1/2# Take natural log of both sides: #lne^x=ln(1/2)# #x= ln(1/2)# 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 13032 views around the world You can reuse this answer Creative Commons License