What is expand log_{10}(x^5\sqrt[3]{y^2z}) ?

The solution to expand log_{10}(x^5\sqrt[3]{y^2z}) is 5log_{10}(x)+log_{10}(\sqrt[3]{y^2z})

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expand log_{10}(x^5\sqrt[3]{y^2z})

expand

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_{10} (x^{5}) = 5 lo g_{10} (x)

2 ln (\frac{3}{2})

\frac{1}{2} lo g_{10} (s) + 3 lo g_{10} (m)

- lo g_{10} (7.46 \cdot 1 0^{- 6})

ln (5) + ln (6)

ln (x + 3) + ln (x - 3)

What is expand log_{10}(x^5\sqrt[3]{y^2z}) ?
The solution to expand log_{10}(x^5\sqrt[3]{y^2z}) is 5log_{10}(x)+log_{10}(\sqrt[3]{y^2z})