How do you solve #2e^(8x)=45#? Precalculus Properties of Logarithmic Functions Natural Logs 1 Answer Noah G Sep 30, 2016 #e^(8x) = ln(45/2)# #e^(8x) = 22.5# #ln(e^(8x)) = ln22.5# #8xlne = ln22.5# #8x = ln22.5# #x = ln22.5/8# #x ~=0.39# Hopefully this helps! 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 2441 views around the world You can reuse this answer Creative Commons License