What is ln((ab)/(\sqrt[3]{c)}) ?

The solution to ln((ab)/(\sqrt[3]{c)}) is ln(a)+ln(b)-ln(\sqrt[3]{c})

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simplify ln((ab)/(\sqrt[3]{c)})

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 (ab) = ln (a) + ln (b)

lo g_{10} (\frac{x}{100})

- lo g_{10} (5 \cdot 1 0^{- 5})

lo g_{3} (\frac{x ^{4}}{x + 2})

16.7 + 10 \cdot lo g_{10} (\frac{10400}{120})

lo g_{10} (x) - 2 lo g_{10} (x + 1)

What is ln((ab)/(\sqrt[3]{c)}) ?
The solution to ln((ab)/(\sqrt[3]{c)}) is ln(a)+ln(b)-ln(\sqrt[3]{c})