How do you expand #ln((3x^2y^3) /22)#? Precalculus Properties of Logarithmic Functions Natural Logs 1 Answer mason m Nov 30, 2015 #=ln(3/22)+2ln(x)+3ln(y)# Explanation: #{(ln((ab)/c)=ln(a)+ln(b)-ln(c)),(ln(a^b)=bln(a)):}# #ln((3x^2y^3)/22)=ln(3)+ln(x^2)+ln(y^3)-ln(22)# #ln(3)+2ln(x)+3ln(y)-ln(22)# #=ln(3/22)+2ln(x)+3ln(y)# 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 1627 views around the world You can reuse this answer Creative Commons License