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Popular >

simplify 1/5-5ln(1/5)

Solution

simplify

\frac{1}{5} - 5 ln (\frac{1}{5})

Solution

\frac{1}{5} + 5 ln (5)

+1

Decimal Notation

8.24718 \dots

Solution steps

\frac{1}{5} - 5 ln (\frac{1}{5})

Apply log rule:

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

ln (\frac{1}{5}) = ln (1) - ln (5)

= \frac{1}{5} - 5 (ln (1) - ln (5))

5 (ln (1) - ln (5)) = - 5 ln (5)

= \frac{1}{5} - (- 5 ln (5))

Apply rule

- (- a) = a

= \frac{1}{5} + 5 ln (5)

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Frequently Asked Questions (FAQ)

What is 1/5-5ln(1/5) ?
The solution to 1/5-5ln(1/5) is 1/5+5ln(5)