What is expand log_{10}((x^2)/y) ?

The solution to expand log_{10}((x^2)/y) is 2log_{10}(x)-log_{10}(y)

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expand log_{10}((x^2)/y)

expand

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

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

Solution steps

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

Apply log rule:

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

lo g_{10} (\frac{x ^{2}}{y}) = lo g_{10} (x^{2}) - lo g_{10} (y)

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

Apply log rule:

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

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

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

ln (2 x) - ln (3 y)

ln \frac{( 3 w ^{2} ) z ^{6}}{x ^{3} y ^{4}}

2 [ln (x) - ln (x + 1) - ln (x - 1)]

lo g_{3} (\frac{x}{5})

lo g_{3} (c) + lo g_{3} (c + 3)

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