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Popular >

simplify 1/2 ln((1+(sqrt(3))/2)/(1-(sqrt(3))/2))

Solution

simplify

\frac{1}{2} ln (\frac{1 + \frac{3}{2}}{1 - \frac{3}{2}})

Solution

\frac{1}{2} (ln (1 + \frac{3}{2}) - ln (1 - \frac{3}{2}))

+1

Decimal Notation

1.31695 \dots

Solution steps

\frac{1}{2} ln (\frac{1 + \frac{3}{2}}{1 - \frac{3}{2}})

Apply log rule:

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

ln (\frac{1 + \frac{3}{2}}{1 - \frac{3}{2}}) = ln (1 + \frac{3}{2}) - ln (1 - \frac{3}{2})

= \frac{1}{2} (ln (\frac{3}{2} + 1) - ln (- \frac{3}{2} + 1))

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Frequently Asked Questions (FAQ)

What is 1/2 ln((1+(sqrt(3))/2)/(1-(sqrt(3))/2)) ?
The solution to 1/2 ln((1+(sqrt(3))/2)/(1-(sqrt(3))/2)) is 1/2 (ln(1+(sqrt(3))/2)-ln(1-(sqrt(3))/2))