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Popular >

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

Solution

simplify

ln (\frac{∣ x + 1 ∣}{∣ x - 1 ∣})

Solution

ln ∣ x + 1 ∣ - ln ∣ x - 1 ∣

Solution steps

ln (\frac{∣ x + 1 ∣}{∣ x - 1 ∣})

Apply log rule:

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

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

= ln ∣ x + 1 ∣ - ln ∣ x - 1 ∣

Popular Examples

simplify ln((Lo)/L)simplify

ln (\frac{L o}{L})

simplify ln(1/18)simplify

ln (\frac{1}{18})

simplify ln(x)-(ln(y)+ln(z))-2ln(a)simplify

ln (x) - (ln (y) + ln (z)) - 2 ln (a)

expand log_{8}(3x^4)expand

lo g_{8} (3 x^{4})

expand log_{8}(x^3)expand

lo g_{8} (x^{3})

Frequently Asked Questions (FAQ)

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