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Popular >

simplify ln((sqrt(3))/3)

Solution

simplify

ln (\frac{3}{3})

Solution

- \frac{1}{2} ln (3)

+1

Solution steps

ln (\frac{3}{3})

Apply log rule:

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

ln (\frac{3}{3}) = ln (3) - ln (3)

= ln (3) - ln (3)

ln (3) = \frac{1}{2} ln (3)

= \frac{1}{2} ln (3) - ln (3)

Factor out common term

ln (3)

= ln (3) (\frac{1}{2} - 1)

\frac{1}{2} - 1 = - \frac{1}{2}

= - \frac{1}{2} ln (3)

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Frequently Asked Questions (FAQ)

What is ln((sqrt(3))/3) ?
The solution to ln((sqrt(3))/3) is -1/2 ln(3)