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Popular >

simplify 1/2 ln((e+sqrt(e^2-1))/(e-sqrt(e^2-1)))

Solution

simplify

\frac{1}{2} ln (\frac{e + e ^{2} - 1}{e - e ^{2} - 1})

Solution

\frac{1}{2} (ln (e + e^{2} - 1) - ln (e - e^{2} - 1))

+1

Decimal Notation

1.65745 \dots

Solution steps

\frac{1}{2} ln (\frac{e + e ^{2} - 1}{e - e ^{2} - 1})

Apply log rule:

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

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

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

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Frequently Asked Questions (FAQ)

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