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

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

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

simplify

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_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

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)

Simplify

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

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

lo g_{c} (x) + lo g_{c} (y)

lo g_{10} (\frac{3 x}{2 y})

ln (\frac{1}{4 9 ^{k}})

ln (\frac{1}{2 5 ^{k}})

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

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