How do you condense #ln(1+x^9)+1/2(ln(x)-ln(sin(x) #? Precalculus Properties of Logarithmic Functions Natural Logs 1 Answer Trevor Ryan. Sep 14, 2016 #ln(1+x^9)+1/2lnx-ln(sinx)=(1+x^9)/(2sinx)# Explanation: Use the following 2 laws of logs : #logAB=logA+logB# #log(A/B)=logA-logB# to get : #ln(1+x^9)+1/2lnx-ln(sinx)=(1/2(1+x^9))/sinx# 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 3116 views around the world You can reuse this answer Creative Commons License