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Popular >

simplify ln(4/27)

Solution

simplify

ln (\frac{4}{27})

Solution

2 ln (2) - 3 ln (3)

+1

Decimal Notation

- 1.90954 \dots

Solution steps

ln (\frac{4}{27})

Apply log rule:

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

ln (\frac{4}{27}) = ln (4) - ln (27)

= ln (4) - ln (27)

ln (4) = 2 ln (2)

ln (27) = 3 ln (3)

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

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Frequently Asked Questions (FAQ)

What is ln(4/27) ?
The solution to ln(4/27) is 2ln(2)-3ln(3)