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

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

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

expand

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

ln (1 + x) - ln (\frac{1 + x}{x})

ln (c) + ln (c + x)

lo g_{w} (7 e)

ln (\frac{- 1}{153})

- ln (\frac{π d}{4})

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