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Popular >

simplify-329*ln(1/4)

Solution

simplify

- 329 \cdot ln (\frac{1}{4})

Solution

658 ln (2)

+1

Decimal Notation

456.09084 \dots

Solution steps

- 329 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)

= - 329 (ln (1) - ln (4))

Apply log rule:

lo g_{a} (1) = 0

= - 329 (- ln (4) + 0)

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

= - 329 (- ln (4))

Apply rule

- (- a) = a

= 329 ln (4)

Simplify

ln (4) : 2 ln (2)

= 329 \cdot 2 ln (2)

Multiply the numbers:

329 \cdot 2 = 658

= 658 ln (2)

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Frequently Asked Questions (FAQ)

What is simplify-329*ln(1/4) ?
The solution to simplify-329*ln(1/4) is 658ln(2)