What is expand log_{3}((21x)/(x-1)) ?

The solution to expand log_{3}((21x)/(x-1)) is log_{3}(21)+log_{3}(x)-log_{3}(x-1)

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expand log_{3}((21x)/(x-1))

expand

lo g_{3} (\frac{21 x}{x - 1})

lo g_{3} (21) + lo g_{3} (x) - lo g_{3} (x - 1)

Solution steps

lo g_{3} (\frac{21 x}{x - 1})

Apply log rule:

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

lo g_{3} (\frac{21 x}{x - 1}) = lo g_{3} (21 x) - lo g_{3} (x - 1)

= lo g_{3} (21 x) - lo g_{3} (x - 1)

Apply log rule:

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

lo g_{3} (21 x) = lo g_{3} (21) + lo g_{3} (x)

= lo g_{3} (21) + lo g_{3} (x) - lo g_{3} (x - 1)

lo g_{8} (\frac{( ab ) ^{3}}{c ^{5}})

6 lo g_{10} (x) + 8 lo g_{10} (x + 2)

\frac{5}{2} lo g_{10} (x) - lo g_{10} (3 y) + lo g_{10} (z)

lo g_{10} (5 x^{2} y^{3})

lo g_{b} (y z^{2})

What is expand log_{3}((21x)/(x-1)) ?
The solution to expand log_{3}((21x)/(x-1)) is log_{3}(21)+log_{3}(x)-log_{3}(x-1)