What is 0.5ln((0.7)/(0.3)) ?

The solution to 0.5ln((0.7)/(0.3)) is 0.5(ln(0.7)-ln(0.3))

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simplify 0.5ln((0.7)/(0.3))

simplify

0.5 ln (\frac{0.7}{0.3})

0.5 (ln (0.7) - ln (0.3))

Decimal Notation

0.42364 \dots

Solution steps

0.5 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)

= 0.5 (ln (0.7) - ln (0.3))

ln (7 e^{8})

lo g_{b} (5 x \cdot 2 y)

6 lo g_{10} (d) - 3 lo g_{10} (k)

lo g_{10} (\frac{x ^{3} y}{z})

- lo g_{10} (3.7 \cdot 1 0^{- 5})

What is 0.5ln((0.7)/(0.3)) ?
The solution to 0.5ln((0.7)/(0.3)) is 0.5(ln(0.7)-ln(0.3))