What is 1/2 ln(((1+885))/((1-885))) ?

The solution to 1/2 ln(((1+885))/((1-885))) is (ln(886)-ln(-884))/2

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simplify 1/2 ln(((1+885))/((1-885)))

simplify

\frac{1}{2} ln (\frac{( 1 + 885 )}{( 1 - 885 )})

\frac{ln ( 886 ) - ln ( - 884 )}{2}

Solution steps

\frac{1}{2} ln (\frac{( 1 + 885 )}{( 1 - 885 )})

Apply log rule:

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

ln (\frac{( 1 + 885 )}{( 1 - 885 )}) = ln ((1 + 885)) - ln ((1 - 885))

= \frac{1}{2} (ln (1 + 885) - ln (1 - 885))

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot ( ln ( 1 + 885 ) - ln ( 1 - 885 ) )}{2}

1 \cdot (ln (1 + 885) - ln (1 - 885)) = ln (886) - ln (- 884)

= \frac{ln ( 886 ) - ln ( - 884 )}{2}

2 ln (x) + ln (\frac{y}{x}) + c

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ln (\frac{1}{x + h} + 1) - ln (\frac{1}{x} + 1)

ln (1 + \frac{y ^{2}}{x ^{2}}) + ln (x)

What is 1/2 ln(((1+885))/((1-885))) ?
The solution to 1/2 ln(((1+885))/((1-885))) is (ln(886)-ln(-884))/2