What is log_{3}(x/(x-2)) ?

The solution to log_{3}(x/(x-2)) is log_{3}(x)-log_{3}(x-2)

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simplify log_{3}(x/(x-2))

simplify

lo g_{3} (\frac{x}{x - 2})

lo g_{3} (x) - lo g_{3} (x - 2)

Solution steps

lo g_{3} (\frac{x}{x - 2})

Apply log rule:

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

lo g_{3} (\frac{x}{x - 2}) = lo g_{3} (x) - lo g_{3} (x - 2)

= lo g_{3} (x) - lo g_{3} (x - 2)

lo g_{x} (18 a^{5}) - 2 lo g_{x} (3 a)

lo g_{3} (81 x^{3} 1 + x^{2})

lo g_{4} (x y^{4} z^{4})

lo g_{4} (x) - lo g_{4} (2) + lo g_{4} (3)

lo g_{6} (60) - lo g_{6} (30)

What is log_{3}(x/(x-2)) ?
The solution to log_{3}(x/(x-2)) is log_{3}(x)-log_{3}(x-2)