What is expand log_{3}(x^{14}\sqrt[5]{y^3}) ?

The solution to expand log_{3}(x^{14}\sqrt[5]{y^3}) is 14log_{3}(x)+log_{3}(\sqrt[5]{y^3})

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expand log_{3}(x^{14}\sqrt[5]{y^3})

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Solution steps

Apply log rule:

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

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{3} (x^{14}) = 14 lo g_{3} (x)

0.23 \cdot ln (0.23) + 5.55 ln (0.76)

ln (\frac{x - 1}{x + 3})

ln (2) - ln (2 + 1)

ln (4.4 \cdot 1 0^{15})

\frac{1}{2} ln (\frac{1}{2}) + \frac{1}{2} ln (\frac{1}{2})

What is expand log_{3}(x^{14}\sqrt[5]{y^3}) ?
The solution to expand log_{3}(x^{14}\sqrt[5]{y^3}) is 14log_{3}(x)+log_{3}(\sqrt[5]{y^3})