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Popular >

simplify ln(1/(1+2))

Solution

simplify

ln (\frac{1}{1 + 2})

Solution

- ln (3)

+1

Decimal Notation

- 1.09861 \dots

Solution steps

ln (\frac{1}{1 + 2})

Apply log rule:

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

ln (\frac{1}{1 + 2}) = ln (1) - ln (1 + 2)

= ln (1) - ln (1 + 2)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (1 + 2)

Add the numbers:

1 + 2 = 3

= 0 - ln (3)

0 - ln (3) = - ln (3)

= - ln (3)

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Frequently Asked Questions (FAQ)

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