What is expand log_{10}(xy^8) ?

The solution to expand log_{10}(xy^8) is log_{10}(x)+8log_{10}(y)

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expand log_{10}(xy^8)

expand

lo g_{10} (x y^{8})

lo g_{10} (x) + 8 lo g_{10} (y)

Solution steps

lo g_{10} (x y^{8})

Apply log rule:

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

lo g_{10} (x y^{8}) = lo g_{10} (x) + lo g_{10} (y^{8})

= lo g_{10} (x) + lo g_{10} (y^{8})

Apply log rule:

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

lo g_{10} (y^{8}) = 8 lo g_{10} (y)

= lo g_{10} (x) + 8 lo g_{10} (y)

- lo g_{e} (0.917) - lo g_{e} (0.964)

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

lo g_{b} (\frac{2.197}{2.079})

ln (\frac{5}{8 x ^{8} y})

1.1 - \frac{0.0257}{2} \cdot ln (\frac{3.5}{1 0 ^{- 5}})

What is expand log_{10}(xy^8) ?
The solution to expand log_{10}(xy^8) is log_{10}(x)+8log_{10}(y)