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Popular >

simplify x-ln|x+4|+ln|x|

Solution

simplify

x - ln ∣ x + 4 ∣ + ln ∣ x ∣

Solution

x + ln (\frac{∣ x ∣}{∣ x + 4 ∣})

Solution steps

x - ln ∣ x + 4 ∣ + ln ∣ x ∣

Apply log rule:

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

ln ∣ x ∣ - ln ∣ x + 4 ∣ = ln (\frac{∣ x ∣}{∣ x + 4 ∣})

= x + ln (\frac{∣ x ∣}{∣ x + 4 ∣})

Popular Examples

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Frequently Asked Questions (FAQ)

What is x-ln|x+4|+ln|x| ?
The solution to x-ln|x+4|+ln|x| is x+ln((|x|)/(|x+4|))