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Popular >

simplify ln(k/(2k))

Solution

simplify

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

Solution

- ln (2)

+1

Decimal Notation

- 0.69314 \dots

Solution steps

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

Apply log rule:

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

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

= ln (k) - ln (2 k)

Apply log rule:

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

ln (2 k) = ln (2) + ln (k)

= ln (k) - (ln (k) + ln (2))

- (ln (2) + ln (k)) : - ln (2) - ln (k)

= ln (k) - ln (2) - ln (k)

Simplify

ln (k) - ln (2) - ln (k) : - ln (2)

= - ln (2)

Popular Examples

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\frac{1}{2} lo g_{2} (x) - 2 lo g_{2} (y) + lo g_{2} (z)

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Frequently Asked Questions (FAQ)

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