What is expand log_{10}(x/(6/y)) ?

The solution to expand log_{10}(x/(6/y)) is log_{10}(x)-log_{10}(6)+log_{10}(y)

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expand log_{10}(x/(6/y))

expand

lo g_{10} (\frac{x}{\frac{6}{y}})

lo g_{10} (x) - lo g_{10} (6) + lo g_{10} (y)

Solution steps

lo g_{10} (\frac{x}{\frac{6}{y}})

Apply log rule:

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

lo g_{10} (\frac{x}{\frac{6}{y}}) = lo g_{10} (x) - lo g_{10} (\frac{6}{y})

= lo g_{10} (x) - lo g_{10} (\frac{6}{y})

Apply log rule:

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

lo g_{10} (\frac{6}{y}) = lo g_{10} (6) - lo g_{10} (y)

= lo g_{10} (x) - (- lo g_{10} (y) + lo g_{10} (6))

- (lo g_{10} (6) - lo g_{10} (y)) : - lo g_{10} (6) + lo g_{10} (y)

= lo g_{10} (x) - lo g_{10} (6) + lo g_{10} (y)

- 650 ln (\frac{4}{9})

ln (\frac{1}{5}) - ln (\frac{1}{4})

ln (5 x^{2} - 6) - ln (x^{2})

ln (3 x) - 3 x

ln (\frac{2950000}{750000})

What is expand log_{10}(x/(6/y)) ?
The solution to expand log_{10}(x/(6/y)) is log_{10}(x)-log_{10}(6)+log_{10}(y)