What is expand log_{3}((asqrt(b))/(12)) ?

The solution to expand log_{3}((asqrt(b))/(12)) is log_{3}(a)+log_{3}(sqrt(b))-log_{3}(12)

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expand log_{3}((asqrt(b))/(12))

expand

lo g_{3} (\frac{a b}{12})

lo g_{3} (a) + lo g_{3} (b) - lo g_{3} (12)

Solution steps

lo g_{3} (\frac{a b}{12})

Apply log rule:

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

lo g_{3} (\frac{a b}{12}) = lo g_{3} (a b) - lo g_{3} (12)

= lo g_{3} (a b) - lo g_{3} (12)

Apply log rule:

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

lo g_{3} (a b) = lo g_{3} (a) + lo g_{3} (b)

= lo g_{3} (a) + lo g_{3} (b) - lo g_{3} (12)

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

[y (ln (x) - ln (y)) + x] d x + x (ln (y) - ln (x)) d y

6 ln (x) - 2 ln (y)

ln (\frac{x ^{3} x - 1}{3 x - 12})

2 ln (\frac{5}{4})

What is expand log_{3}((asqrt(b))/(12)) ?
The solution to expand log_{3}((asqrt(b))/(12)) is log_{3}(a)+log_{3}(sqrt(b))-log_{3}(12)