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Popular >

simplify ln|vx|-ln|v|

Solution

simplify

ln ∣ vx ∣ - ln ∣ v ∣

Solution

ln ∣ x ∣

Solution steps

ln ∣ vx ∣ - ln ∣ v ∣

Apply log rule:

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

ln ∣ vx ∣ - ln ∣ v ∣ = ln (\frac{∣ vx ∣}{∣ v ∣})

= ln (\frac{∣ vx ∣}{∣ v ∣})

Simplify

\frac{∣ vx ∣}{∣ v ∣} : ∣ x ∣

= ln ∣ x ∣

Popular Examples

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Frequently Asked Questions (FAQ)

What is ln|vx|-ln|v| ?
The solution to ln|vx|-ln|v| is ln|x|