What is 0.5ln((10.5)/(6.5)) ?

The solution to 0.5ln((10.5)/(6.5)) is 0.5(ln(10.5)-ln(6.5))

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simplify 0.5ln((10.5)/(6.5))

simplify

0.5 ln (\frac{10.5}{6.5})

0.5 (ln (10.5) - ln (6.5))

Decimal Notation

0.23978 \dots

Solution steps

0.5 ln (\frac{10.5}{6.5})

Apply log rule:

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

ln (\frac{10.5}{6.5}) = ln (10.5) - ln (6.5)

= 0.5 (ln (10.5) - ln (6.5))

- \frac{1}{1.2097 \cdot 1 0 ^{- 4}} ln (\frac{20}{22})

- ln ∣ 5.1 - 3 ∣ + 2 ln ∣ 5.1 - 2 ∣

2 ln (x) + 3 ln (1 + x) - 4 ln (2 + x)

ln (\frac{463.15}{343.15})

lo g_{2} (\frac{x ^{3}}{9 y})

What is 0.5ln((10.5)/(6.5)) ?
The solution to 0.5ln((10.5)/(6.5)) is 0.5(ln(10.5)-ln(6.5))