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

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

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

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} (z^{5}) = 5 lo g_{10} (z)

\frac{ln ( 2.5 ) - ln ( 2.2 )}{2.5 - 2.2}

ln (3) - 2 ln (2)

lo g_{2} (x^{3}) - lo g_{2} (x^{2})

lo g_{2} (\frac{2 x + 1}{x - 5})

5 lo g_{10} (8) + 2 lo g_{10} (x)

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