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)

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

lo g_{a} (\frac{x ^{7}}{y z ^{8}})

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

5 ln (cos^{2} (t)) + 5 ln (1 + tan^{2} (t))

\frac{3}{2} ln (3)

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