What is ln(2/(sqrt(1-0-(-1)))) ?

The solution to ln(2/(sqrt(1-0-(-1)))) is 1/2 ln(2)

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simplify ln(2/(sqrt(1-0-(-1))))

simplify

ln (\frac{2}{1 - 0 - ( - 1 )})

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

Solution steps

ln (\frac{2}{1 - 0 - ( - 1 )})

Apply log rule:

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

ln (\frac{2}{1 - 0 - ( - 1 )}) = ln (2) - ln (1 - 0 - (- 1))

= ln (2) - ln (1 - 0 - (- 1))

Apply rule

- (- a) = a

= ln (2) - ln (1 - 0 + 1)

ln (1 - 0 + 1) = \frac{1}{2} ln (2)

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

Factor out common term

ln (2)

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

1 - \frac{1}{2} = \frac{1}{2}

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

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What is ln(2/(sqrt(1-0-(-1)))) ?
The solution to ln(2/(sqrt(1-0-(-1)))) is 1/2 ln(2)