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Popular >

simplify 4ln(1/4)

Solution

simplify

4 ln (\frac{1}{4})

Solution

- 8 ln (2)

+1

Decimal Notation

- 5.54517 \dots

Solution steps

4 ln (\frac{1}{4})

Apply log rule:

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

ln (\frac{1}{4}) = ln (1) - ln (4)

= 4 (ln (1) - ln (4))

Apply log rule:

lo g_{a} (1) = 0

= 4 (- ln (4) + 0)

0 - ln (4) = - ln (4)

= 4 (- ln (4))

Remove parentheses:

(- a) = - a

= - 4 ln (4)

Simplify

ln (4) : 2 ln (2)

= - 4 \cdot 2 ln (2)

Multiply the numbers:

4 \cdot 2 = 8

= - 8 ln (2)

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Frequently Asked Questions (FAQ)

What is 4ln(1/4) ?
The solution to 4ln(1/4) is -8ln(2)