What is log_{3}((2x)/(x+1)) ?

The solution to log_{3}((2x)/(x+1)) is log_{3}(2)+log_{3}(x)-log_{3}(x+1)

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simplify log_{3}((2x)/(x+1))

simplify

lo g_{3} (\frac{2 x}{x + 1})

lo g_{3} (2) + lo g_{3} (x) - lo g_{3} (x + 1)

Solution steps

lo g_{3} (\frac{2 x}{x + 1})

Apply log rule:

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

lo g_{3} (\frac{2 x}{x + 1}) = lo g_{3} (2 x) - lo g_{3} (x + 1)

= lo g_{3} (2 x) - lo g_{3} (x + 1)

Simplify

lo g_{3} (2 x) : lo g_{3} (2) + lo g_{3} (x)

= lo g_{3} (2) + lo g_{3} (x) - lo g_{3} (x + 1)

2 (lo g_{2} (393) - lo g_{2} (7))

ln (6 x^{2})

- lo g_{10} (- 0.83 x 1 0^{14})

lo g_{6} (A B^{2})

lo g_{9} ((\frac{a}{b ^{3}})^{4})

What is log_{3}((2x)/(x+1)) ?
The solution to log_{3}((2x)/(x+1)) is log_{3}(2)+log_{3}(x)-log_{3}(x+1)