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How do you use the properties of logarithms to expand #lnroot3(x/y)#?

1 Answer

Jul 4, 2018

#ln root(3)(x/y) = 1/3 ln x - 1/3 ln y #

Explanation:

#ln root(3)(x/y) #
#= ln (x/y)^(1/3) #
#= 1/3 xx ln (x/y) #
#= 1/3 xx (ln x - ln y) #
#= 1/3 ln x - 1/3 ln y #

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