What is ln((sqrt(2))/(sqrt(6))) ?

The solution to ln((sqrt(2))/(sqrt(6))) is 1/2 ln(2)-1/2 ln(6)

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simplify ln((sqrt(2))/(sqrt(6)))

simplify

ln (\frac{2}{6})

\frac{1}{2} ln (2) - \frac{1}{2} ln (6)

Decimal Notation

- 0.54930 \dots

Solution steps

ln (\frac{2}{6})

Apply log rule:

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

ln (\frac{2}{6}) = ln (2) - ln (6)

= ln (2) - ln (6)

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

ln (6) = \frac{1}{2} ln (6)

= \frac{1}{2} ln (2) - \frac{1}{2} ln (6)

lo g_{3} (2^{n})

ln (x (x - 6) (x + 3))

ln (\frac{x}{273.15})

ln (4 e^{\frac{πi}{2}})

ln (\frac{0.7285}{0.7285 - 0.1314})

What is ln((sqrt(2))/(sqrt(6))) ?
The solution to ln((sqrt(2))/(sqrt(6))) is 1/2 ln(2)-1/2 ln(6)