How do you expand #ln( sqrt(x^4)/sqrt( y^5))#?

1 Answer
Mar 22, 2016

Answer:

#ln (sqrt(x^4)/sqrt(y^5))##=2lnx-5/2 ln y#

Explanation:

#ln (sqrt(x^4)/sqrt(y^5))#
#=ln(x^4)^(1/2) - ln(y^5)^(1/2)#-> use property #log_n(x/y)=log_b x -log_b y#
#=ln x^2-lny^(5/2)#
#=2lnx-5/2 ln y#-> use property #log_bx^n=n*log_b x#