How do you condense #2(ln)X + 1/2(ln)Y#? Precalculus Properties of Logarithmic Functions Natural Logs 1 Answer Shwetank Mauria May 8, 2016 #2lnX+1/2lnY=lnX^2*sqrtY# Explanation: #2lnX+1/2lnY# = #lnX^2+lnY^(1/2)# (as #nlna=lna^n#) = #lnX^2*Y^(1/2)# = #lnX^2*sqrtY# 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 4810 views around the world You can reuse this answer Creative Commons License