How do you simplify ln 3 − 2(ln 4 + ln 8)? Precalculus Properties of Logarithmic Functions Natural Logs 1 Answer Shwetank Mauria May 24, 2018 ln3-2(ln4+ln8)=ln(3/1024) Explanation: We use the identities lna+lnb=ln(ab), mlna=lna^m and lna-lnb=ln(a/b) Hence ln3-2(ln4+ln8) = ln3-2ln(4*8) = ln3-2ln32 = ln3-ln(32^2) = ln(3/32^2) = ln(3/1024) 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 4720 views around the world You can reuse this answer Creative Commons License