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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

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Frequently Asked Questions (FAQ)

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