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Popular >

simplify ln(1/(1-0.4))

Solution

simplify

ln (\frac{1}{1 - 0.4})

Solution

- ln (0.6)

+1

Decimal Notation

0.51082 \dots

Solution steps

ln (\frac{1}{1 - 0.4})

Apply log rule:

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

ln (\frac{1}{1 - 0.4}) = ln (1) - ln (1 - 0.4)

= ln (1) - ln (1 - 0.4)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (1 - 0.4)

Subtract the numbers:

1 - 0.4 = 0.6

= 0 - ln (0.6)

0 - ln (0.6) = - ln (0.6)

= - ln (0.6)

Popular Examples

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lo g_{2} ((x^{3} + 2) (x - 4)^{3})

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- lo g_{10} (3.2 \cdot 1 0^{- 8})

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- lo g_{10} (1.1 \cdot 1 0^{- 6})

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- 2 (ln (100 - x) - 2 ln (10))

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Frequently Asked Questions (FAQ)

What is ln(1/(1-0.4)) ?
The solution to ln(1/(1-0.4)) is -ln(0.6)