What is ln| x/2+1|+ln| x/2-1| ?

The solution to ln| x/2+1|+ln| x/2-1| is ln(| x/2+1|| x/2-1|)

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simplify ln| x/2+1|+ln| x/2-1|

simplify

ln \frac{x}{2} + 1 + ln \frac{x}{2} - 1

ln (\frac{x}{2} + 1 \frac{x}{2} - 1)

Solution steps

ln \frac{x}{2} + 1 + ln \frac{x}{2} - 1

Apply log rule:

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

ln \frac{x}{2} + 1 + ln \frac{x}{2} - 1 = ln (\frac{x}{2} + 1 \frac{x}{2} - 1)

= ln (\frac{x}{2} + 1 \frac{x}{2} - 1)

2000 ln (\frac{5}{4})

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\frac{- ln ( \frac{2}{3} ) - \frac{1}{3}}{3} + 9 ln (\frac{2}{3}) + 3 + \frac{3}{2} + \frac{1}{9} + \frac{1}{36}

What is ln| x/2+1|+ln| x/2-1| ?
The solution to ln| x/2+1|+ln| x/2-1| is ln(| x/2+1|| x/2-1|)