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Popular >

simplify 1/3-3ln(1/3)

Solution

simplify

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

Solution

\frac{1}{3} + 3 ln (3)

+1

Decimal Notation

3.62917 \dots

Solution steps

\frac{1}{3} - 3 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)

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

3 (ln (1) - ln (3)) = - 3 ln (3)

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

Apply rule

- (- a) = a

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

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Frequently Asked Questions (FAQ)

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