How do you solve #15e^-x=645#? Precalculus Properties of Logarithmic Functions Natural Logs 1 Answer anor277 Jan 16, 2017 #x~=-3.76# Explanation: #e^-x=645/15=43# We take logs of both sides: #loge^-x=log43~=3.76# But #loge^-x#, by definition, is the power to which we raise the base #e# to get #e^-x#, so here #-x~=3.76#. And #x~=-3.76# 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 1581 views around the world You can reuse this answer Creative Commons License