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Mathematics 15 Online
OpenStudy (anonymous):

ln (cube root of x) / (cube root of y)

OpenStudy (anonymous):

\[\ln\left(\frac{\sqrt[3]{x}}{\sqrt[3]{y}}\right)\]

OpenStudy (anonymous):

yeah that, i need to expand it?

OpenStudy (anonymous):

i don't know what the question is

OpenStudy (anonymous):

expand the logarithm of the quotient using proprties of logarithms

OpenStudy (anonymous):

ok then you can start by writing \[\ln(\sqrt[3]{x})-\ln(\sqrt[3]{y})\] then rewrite using exponents as \[\ln(x^{1/3})-\ln(y^{1/3})\] and finally \[\frac{1}{3}\ln(x)-\frac{1}{3}\ln(y)\]

OpenStudy (anonymous):

ok thats what i got, just want sure! thanks!

OpenStudy (anonymous):

wasnt

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