What is simplify-1/2 ln(12/13) ?

The solution to simplify-1/2 ln(12/13) is -1/2 (ln(12)-ln(13))

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simplify-1/2 ln(12/13)

simplify

- \frac{1}{2} ln (\frac{12}{13})

- \frac{1}{2} (ln (12) - ln (13))

Decimal Notation

0.04002 \dots

Solution steps

- \frac{1}{2} ln (\frac{12}{13})

Apply log rule:

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

ln (\frac{12}{13}) = ln (12) - ln (13)

= - \frac{1}{2} (ln (12) - ln (13))

= - \frac{1}{2} (ln (12) - ln (13))

ln (\frac{11}{36})

ln (y) - ln (x - 1)

4 ln (x) + 5 ln (y)

ln (x - 8) - ln (x + 8)

ln (r^{2} + 1) - ln (r^{2} - 1)

What is simplify-1/2 ln(12/13) ?
The solution to simplify-1/2 ln(12/13) is -1/2 (ln(12)-ln(13))