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Popular >

simplify ln(1/((1-0.9)))

Solution

simplify

ln (\frac{1}{( 1 - 0.9 )})

Solution

- ln (0.1)

+1

Decimal

2.30258 \dots

Solution steps

ln (\frac{1}{( 1 - 0.9 )})

Apply log rule:

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

ln (\frac{1}{( 1 - 0.9 )}) = ln (1) - ln ((1 - 0.9))

= ln (1) - ln (1 - 0.9)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (1 - 0.9)

Subtract the numbers:

1 - 0.9 = 0.1

= 0 - ln (0.1)

0 - ln (0.1) = - ln (0.1)

= - ln (0.1)

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Frequently Asked Questions (FAQ)

What is ln(1/((1-0.9))) ?
The solution to ln(1/((1-0.9))) is -ln(0.1)