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Popular >

simplify ln((|1+x|)/(|1-x|))

Solution

simplify

ln (\frac{∣ 1 + x ∣}{∣ 1 - x ∣})

Solution

ln ∣ 1 + x ∣ - ln ∣ 1 - x ∣

Solution steps

ln (\frac{∣ 1 + x ∣}{∣ 1 - x ∣})

Apply log rule:

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

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

= ln ∣ x + 1 ∣ - ln ∣ - x + 1 ∣

Popular Examples

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Frequently Asked Questions (FAQ)

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