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

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

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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 ∣}{∣ x + 2 ∣})

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} (\frac{a}{b})

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

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

Simplify

\frac{\frac{x}{2} - 1}{\frac{x}{2} + 1} : \frac{∣ x - 2 ∣}{∣ x + 2 ∣}

= ln (\frac{∣ x - 2 ∣}{∣ x + 2 ∣})

- lo g_{10} (4.7 \cdot 1 0^{- 5})

lo g_{10} (2 \cdot 1 0^{- 5})

- lo g_{10} (6.9 \cdot 1 0^{- 4})

ln (\frac{e ^{x} + 1}{e ^{x}})

ln (y e^{y})

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