How do you solve #8^(-5a)-5=53#? Precalculus Properties of Logarithmic Functions Natural Logs 1 Answer Shwetank Mauria Oct 7, 2016 #a=-0.391# Explanation: #8^(-5a)-5=53# #hArr8^(-5a)=53+5=58# ot #log_8(58)=-5a# or #a=-1/5xxlog_8(58)=-1/5xxlog58/log8# i.e. #a=-1/5xx1.763428/0.90309=-0.391# 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 2650 views around the world You can reuse this answer Creative Commons License