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Popular >

simplify ln|x|-ln|x-50|

Solution

simplify

ln ∣ x ∣ - ln ∣ x - 50 ∣

Solution

ln (\frac{∣ x ∣}{∣ x - 50 ∣})

Solution steps

ln ∣ x ∣ - ln ∣ x - 50 ∣

Apply log rule:

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

ln ∣ x ∣ - ln ∣ x - 50 ∣ = ln (\frac{∣ x ∣}{∣ x - 50 ∣})

= ln (\frac{∣ x ∣}{∣ x - 50 ∣})

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Frequently Asked Questions (FAQ)

What is ln|x|-ln|x-50| ?
The solution to ln|x|-ln|x-50| is ln((|x|)/(|x-50|))