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Popular >

simplify ln(esqrt(1/2))

Solution

simplify

ln (e \frac{1}{2})

Solution

1 - \frac{1}{2} ln (2)

+1

Decimal

0.65342 \dots

Solution steps

ln (e \frac{1}{2})

Apply log rule:

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

ln (e \frac{1}{2}) = ln (e) + ln (\frac{1}{2})

= ln (e) + ln (\frac{1}{2})

ln (e) = 1

ln (\frac{1}{2}) = \frac{1}{2} ln (\frac{1}{2})

= 1 + \frac{1}{2} ln (\frac{1}{2})

\frac{1}{2} ln (\frac{1}{2}) = - \frac{1}{2} ln (2)

= 1 - \frac{1}{2} ln (2)

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Frequently Asked Questions (FAQ)

What is ln(esqrt(1/2)) ?
The solution to ln(esqrt(1/2)) is 1-1/2 ln(2)