What is 1/2 ln((0.7)/(0.3)) ?

The solution to 1/2 ln((0.7)/(0.3)) is 1/2 (ln(0.7)-ln(0.3))

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simplify 1/2 ln((0.7)/(0.3))

simplify

\frac{1}{2} ln (\frac{0.7}{0.3})

\frac{1}{2} (ln (0.7) - ln (0.3))

Decimal Notation

0.42364 \dots

Solution steps

\frac{1}{2} ln (\frac{0.7}{0.3})

Apply log rule:

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

ln (\frac{0.7}{0.3}) = ln (0.7) - ln (0.3)

= \frac{1}{2} (ln (0.7) - ln (0.3))

ln (0.66666666 x^{1.5})

ln (\frac{15}{11})

- lo g_{10} (5.512 \cdot 1 0^{- 11})

\frac{1}{10} ln (\frac{20}{40})

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

What is 1/2 ln((0.7)/(0.3)) ?
The solution to 1/2 ln((0.7)/(0.3)) is 1/2 (ln(0.7)-ln(0.3))