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How do you condense #(1/4)ln(2) + (1/2)ln(3)#?

1 Answer

Feb 14, 2016

#1/4ln(2) + 1/2ln(3)=ln(18)/4#

Explanation:

Using the properties that

#aln(b) = ln(b^a)#
#ln(a)+ln(b) = ln(ab)#

#1/4ln(2) + 1/2ln(3) = (ln(2)+2ln(3))/4#

#=(ln(2)+ln(3^2))/4#

#=ln(2*9)/4#

#=ln(18)/4#

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