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Popular >

simplify ln|v+1|-ln|v-1|

Solution

simplify

ln ∣ v + 1 ∣ - ln ∣ v - 1 ∣

Solution

ln (\frac{∣ v + 1 ∣}{∣ v - 1 ∣})

Solution steps

ln ∣ v + 1 ∣ - ln ∣ v - 1 ∣

Apply log rule:

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

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

= ln (\frac{∣ v + 1 ∣}{∣ v - 1 ∣})

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Frequently Asked Questions (FAQ)

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