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

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

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

expand

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

ln (\frac{3}{x})

3 lo g_{c} (x + 3) (lo g_{c} (z) - 4 lo g_{c} (y))

ln (7) - 2 (ln (4) + ln (32))

3 ln (\frac{5.5}{5})

ln (\frac{1}{( r - 1 ) !})

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