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Popular >

simplify ln(1/(1-0.3))

Solution

simplify

ln (\frac{1}{1 - 0.3})

Solution

- ln (0.7)

+1

Decimal Notation

0.35667 \dots

Solution steps

ln (\frac{1}{1 - 0.3})

Apply log rule:

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

ln (\frac{1}{1 - 0.3}) = ln (1) - ln (1 - 0.3)

= ln (1) - ln (1 - 0.3)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (1 - 0.3)

Subtract the numbers:

1 - 0.3 = 0.7

= 0 - ln (0.7)

0 - ln (0.7) = - ln (0.7)

= - ln (0.7)

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Frequently Asked Questions (FAQ)

What is ln(1/(1-0.3)) ?
The solution to ln(1/(1-0.3)) is -ln(0.7)