How do you expand #ln(8^5/7)^4#? Precalculus Properties of Logarithmic Functions Natural Logs 1 Answer Shwetank Mauria Feb 15, 2017 #ln(8^5/7)^4=20ln8-4ln7# Explanation: We can use the identities #lna^b=blna# and #ln(a/b)=lna-lnb# Hence #ln(8^5/7)^4# = #4ln(8^5/7)# = #4(ln8^5-ln7)# = #4(5ln8-ln7)# = #20ln8-4ln7# 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 2349 views around the world You can reuse this answer Creative Commons License