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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

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

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ln (e^{x} + 1) + ln (e^{- x} + 1)

ln (\frac{77 \cdot 914555 - 77}{914555 - 77})

ln (x^{2} + 4) + ln (x^{2} + x)

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