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Popular >

simplify ln(1/3)

Solution

simplify

ln (\frac{1}{3})

Solution

- ln (3)

+1

Decimal Notation

- 1.09861 \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)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (3)

0 - ln (3) = - ln (3)

= - ln (3)

Popular Examples

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- \frac{1}{6} (200)^{2} + 100 (200)

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(2 t)^{2}

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3 x^{2} + 19 x + 28

simplify-sqrt(3)*sqrt(3)simplify

- 3 \cdot 3

5 > u + 10

Frequently Asked Questions (FAQ)

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