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

The solution to expand log_{10}(xy^3) is log_{10}(x)+3log_{10}(y)

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expand log_{10}(xy^3)

expand

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

lo g_{10} (z y^{9})

ln (\frac{x}{x - 10}) + ln (\frac{x + 10}{x}) - ln (x^{2} - 100)

- lo g_{10} (3.98 \times 1 0^{- 9})

lo g_{5} (\frac{g}{125})

lo g_{b} (\frac{7}{8})

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