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Popular >

simplify-3ln(4/9)

Solution

simplify

- 3 ln (\frac{4}{9})

Solution

- 3 (2 ln (2) - 2 ln (3))

+1

Decimal Notation

2.43279 \dots

Solution steps

- 3 ln (\frac{4}{9})

Apply log rule:

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

ln (\frac{4}{9}) = ln (4) - ln (9)

= - 3 (ln (4) - ln (9))

ln (4) = 2 ln (2)

ln (9) = 2 ln (3)

= - 3 (2 ln (2) - 2 ln (3))

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Frequently Asked Questions (FAQ)

What is simplify-3ln(4/9) ?
The solution to simplify-3ln(4/9) is -3(2ln(2)-2ln(3))