What is expand log_{10}((x^3)/y) ?

The solution to expand log_{10}((x^3)/y) is 3log_{10}(x)-log_{10}(y)

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expand log_{10}((x^3)/y)

expand

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

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

Solution steps

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

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{10} (\frac{x ^{3}}{y}) = lo g_{10} (x^{3}) - lo g_{10} (y)

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

Apply log rule:

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

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

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

4 lo g_{b} (u) - 6 lo g_{b} (v)

ln (\frac{e ^{9}}{5})

lo g_{x} (ab)

lo g_{4} (8) + lo g_{4} (6)

lo g_{4} (\frac{1}{16} t^{3} v)

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