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Popular >

simplify ln|v+v^2|-ln|v|

Solution

simplify

ln v + v^{2} - ln ∣ v ∣

Solution

ln (\frac{v + v ^{2}}{∣ v ∣})

Solution steps

ln v + v^{2} - ln ∣ v ∣

Apply log rule:

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

ln v + v^{2} - ln ∣ v ∣ = ln (\frac{v ^{2} + v}{∣ v ∣})

= ln (\frac{v + v ^{2}}{∣ v ∣})

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Frequently Asked Questions (FAQ)

What is ln|v+v^2|-ln|v| ?
The solution to ln|v+v^2|-ln|v| is ln((|v+v^2|)/(|v|))