How do you solve #5e^(3t) = 8e^(2t)#? Precalculus Properties of Logarithmic Functions Natural Logs 1 Answer Cesareo R. Jun 14, 2016 # t = log_e(8/5)# Explanation: After some trasformations we get at #e^{3t}/(e^{2t}) = 8/5# or #e^t = 8/5# Solving for #t# we have #t log_e e = t xx 1 = t = log_e(8/5)# 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 1898 views around the world You can reuse this answer Creative Commons License