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Popular >

simplify ln(v/(2v))

Solution

simplify

ln (\frac{v}{2 v})

Solution

- ln (2)

+1

Decimal Notation

- 0.69314 \dots

Solution steps

ln (\frac{v}{2 v})

Apply log rule:

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

ln (\frac{v}{2 v}) = ln (v) - ln (2 v)

= ln (v) - ln (2 v)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (2 v) = ln (2) + ln (v)

= ln (v) - (ln (v) + ln (2))

- (ln (2) + ln (v)) : - ln (2) - ln (v)

= ln (v) - ln (2) - ln (v)

Simplify

ln (v) - ln (2) - ln (v) : - ln (2)

= - ln (2)

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Frequently Asked Questions (FAQ)

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