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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

- 1.69314 \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

Subtract 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