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Popular >

simplify ln(1/(1-0.11))

Solution

simplify

ln (\frac{1}{1 - 0.11})

Solution

- ln (0.89)

+1

Decimal Notation

0.11653 \dots

Solution steps

ln (\frac{1}{1 - 0.11})

Apply log rule:

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

ln (\frac{1}{1 - 0.11}) = ln (1) - ln (1 - 0.11)

= ln (1) - ln (1 - 0.11)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (1 - 0.11)

Subtract the numbers:

1 - 0.11 = 0.89

= 0 - ln (0.89)

0 - ln (0.89) = - ln (0.89)

= - ln (0.89)

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Frequently Asked Questions (FAQ)

What is ln(1/(1-0.11)) ?
The solution to ln(1/(1-0.11)) is -ln(0.89)