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Popular >

simplify ln(1/(sqrt(3)))

Solution

simplify

ln (\frac{1}{3})

Solution

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

+1

Decimal Notation

- 0.54930 \dots

Solution steps

ln (\frac{1}{3})

Apply log rule:

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

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

= ln (1) - ln (3)

ln (1) = 0

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

= 0 - \frac{1}{2} ln (3)

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

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

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Frequently Asked Questions (FAQ)

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