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Popular >

simplify ln(1/(1+x))

Solution

simplify

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

Solution

- ln (x + 1)

Solution steps

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

Apply log rule:

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

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

= ln (1) - ln (x + 1)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (x + 1)

0 - ln (1 + x) = - ln (1 + x)

= - ln (x + 1)

Popular Examples

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- lo g_{10} (1.78 \cdot 1 0^{- 4})

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x - 3 + ln (\frac{x}{x + 2})

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- lo g_{10} (1.9 \cdot 1 0^{- 2})

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join 2ln(sqrt(3)+2)join

2 ln (3 + 2)

Frequently Asked Questions (FAQ)

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