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Popular >

simplify log_{e}(1/2)+1

Solution

simplify

lo g_{e} (\frac{1}{2}) + 1

Solution

- ln (2) + 1

+1

Decimal Notation

0.30685 \dots

Solution steps

lo g_{e} (\frac{1}{2}) + 1

Apply log rule:

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

lo g_{e} (\frac{1}{2}) = lo g_{e} (1) - lo g_{e} (2)

= lo g_{e} (1) - lo g_{e} (2) + 1

Apply log rule:

lo g_{a} (1) = 0

= 0 - lo g_{e} (2) + 1

Apply log rule:

lo g_{e} (x) = ln (x)

= 0 - ln (2) + 1

Add the numbers:

0 + 1 = 1

= - ln (2) + 1

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Frequently Asked Questions (FAQ)

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