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} (\frac{a}{b}) = 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)

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

lo g_{b} (\frac{x ^{2} y}{z ^{7}})

ln (x^{3} + 1) - 2 ln (x - 1)

lo g_{7} (k^{2} - 49) - lo g_{7} (k - 7)

2 - lo g_{7} (6) - 2 lo g_{7} (x)

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})