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Popular >

simplify ln(1/(1+3))

Solution

simplify

ln (\frac{1}{1 + 3})

Solution

- 2 ln (2)

+1

Decimal Notation

- 1.38629 \dots

Solution steps

ln (\frac{1}{1 + 3})

Apply log rule:

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

ln (\frac{1}{1 + 3}) = ln (1) - ln (1 + 3)

= ln (1) - ln (1 + 3)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (1 + 3)

Add the numbers:

1 + 3 = 4

= 0 - ln (4)

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

= - ln (4)

Simplify

ln (4) : 2 ln (2)

= - 2 ln (2)

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Frequently Asked Questions (FAQ)

What is ln(1/(1+3)) ?
The solution to ln(1/(1+3)) is -2ln(2)