What is ln((\sqrt[3]{x})/(ysqrt(z))) ?

The solution to ln((\sqrt[3]{x})/(ysqrt(z))) is ln(\sqrt[3]{x})-ln(y)-ln(sqrt(z))

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simplify ln((\sqrt[3]{x})/(ysqrt(z)))

simplify

Solution steps

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (y z) = ln (y) + ln (z)

- (ln (y) + ln (z)) : - ln (y) - ln (z)

lo g_{10} (x y^{2})

ln (\frac{x}{x - 3}) + ln (\frac{x + 3}{x}) - ln (x^{2} - 9)

lo g_{10} (\frac{3}{x})

lo g_{10} (6) - lo g_{10} (3)

lo g_{10} (2 ab)

What is ln((\sqrt[3]{x})/(ysqrt(z))) ?
The solution to ln((\sqrt[3]{x})/(ysqrt(z))) is ln(\sqrt[3]{x})-ln(y)-ln(sqrt(z))