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Popular >

simplify ln(4/(4+1))

Solution

simplify

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

Solution

2 ln (2) - ln (5)

+1

Decimal Notation

- 0.22314 \dots

Solution steps

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

Apply log rule:

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

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

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

Add the numbers:

4 + 1 = 5

= ln (4) - ln (5)

ln (4) = 2 ln (2)

= 2 ln (2) - ln (5)

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Frequently Asked Questions (FAQ)

What is ln(4/(4+1)) ?
The solution to ln(4/(4+1)) is 2ln(2)-ln(5)