What is expand log_{10}(xy^2) ?

The solution to expand log_{10}(xy^2) is log_{10}(x)+2log_{10}(y)

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expand log_{10}(xy^2)

expand

lo g_{10} (x y^{2})

lo g_{10} (x) + 2 lo g_{10} (y)

Solution steps

lo g_{10} (x y^{2})

Apply log rule:

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

lo g_{10} (x y^{2}) = lo g_{10} (x) + lo g_{10} (y^{2})

= lo g_{10} (x) + lo g_{10} (y^{2})

Apply log rule:

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

lo g_{10} (y^{2}) = 2 lo g_{10} (y)

= lo g_{10} (x) + 2 lo g_{10} (y)

2 lo g_{2} (x) + 3 lo g_{2} (y)

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

\frac{7}{4} ln (x) - \frac{5}{4} ln (y) - \frac{1}{4} ln (z) + \frac{1}{4} ln (x)

ln (\frac{2}{e})

lo g_{5} (\frac{x ^{2} y}{z ^{3}})

What is expand log_{10}(xy^2) ?
The solution to expand log_{10}(xy^2) is log_{10}(x)+2log_{10}(y)