What is expand log_{6}(5/(12x)) ?

The solution to expand log_{6}(5/(12x)) is log_{6}(5)-log_{6}(12)-log_{6}(x)

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expand log_{6}(5/(12x))

expand

lo g_{6} (\frac{5}{12 x})

lo g_{6} (5) - lo g_{6} (12) - lo g_{6} (x)

Solution steps

lo g_{6} (\frac{5}{12 x})

Apply log rule:

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

lo g_{6} (\frac{5}{12 x}) = lo g_{6} (5) - lo g_{6} (12 x)

= lo g_{6} (5) - lo g_{6} (12 x)

Apply log rule:

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

lo g_{6} (12 x) = lo g_{6} (12) + lo g_{6} (x)

= lo g_{6} (5) - (lo g_{6} (x) + lo g_{6} (12))

- (lo g_{6} (12) + lo g_{6} (x)) : - lo g_{6} (12) - lo g_{6} (x)

= lo g_{6} (5) - lo g_{6} (12) - lo g_{6} (x)

ln (3 3 x)

ln (\frac{41}{13})

ln (\frac{8}{4 + 1})

ln (\frac{100000}{1000000})

ln (y^{x}) + ln (x^{y})

What is expand log_{6}(5/(12x)) ?
The solution to expand log_{6}(5/(12x)) is log_{6}(5)-log_{6}(12)-log_{6}(x)