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Popular >

simplify ln(1/2 e)

Solution

simplify

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

Solution

- ln (2) + 1

+1

Decimal Notation

0.30685 \dots

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

= ln (1) - ln (2) + ln (e)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (2) + ln (e)

Apply log rule:

lo g_{a} (a) = 1

= 0 - ln (2) + 1

Add the numbers:

0 + 1 = 1

= - ln (2) + 1

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Frequently Asked Questions (FAQ)

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