What is expand log_{10}(yz^3) ?

The solution to expand log_{10}(yz^3) is log_{10}(y)+3log_{10}(z)

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expand log_{10}(yz^3)

expand

lo g_{10} (y z^{3})

lo g_{10} (y) + 3 lo g_{10} (z)

Solution steps

lo g_{10} (y z^{3})

Apply log rule:

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

lo g_{10} (y z^{3}) = lo g_{10} (y) + lo g_{10} (z^{3})

= lo g_{10} (y) + lo g_{10} (z^{3})

Apply log rule:

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

lo g_{10} (z^{3}) = 3 lo g_{10} (z)

= lo g_{10} (y) + 3 lo g_{10} (z)

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What is expand log_{10}(yz^3) ?
The solution to expand log_{10}(yz^3) is log_{10}(y)+3log_{10}(z)