What is the answer to 0.223=-ln(1-p) ?

The answer to 0.223=-ln(1-p) is p=(-1+e^{0.223})/(e^{0.223)}

Solve for p: 0.223=-ln(1-p)

The solution is p=(-1+e^{0.223})/(e^{0.223)}

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Popular >

0.223 = - ln (1 - p)

p = \frac{- 1 + e ^{0.223}}{e ^{0.223}}

Decimal

p = 0.19988 \dots

Solution steps

0.223 = - ln (1 - p)

Move

ln (1 - p)

to the left side

0.223 + ln (1 - p) = 0

Move

0.223

to the right side

ln (1 - p) = - 0.223

Apply log rules

1 - p = \frac{1}{e ^{0.223}}

Solve

1 - p = \frac{1}{e ^{0.223}} : p = \frac{- 1 + e ^{0.223}}{e ^{0.223}}

p = \frac{- 1 + e ^{0.223}}{e ^{0.223}}

Verify Solutions:

p = \frac{- 1 + e ^{0.223}}{e ^{0.223}}

True

The solution is

p = \frac{- 1 + e ^{0.223}}{e ^{0.223}}

lo g_{3} (5 x) = x

ln (x + 8) = 2

2 x ln (\frac{1}{x}) - x = 0

lo g_{10} (2 x - 6) = 2

lo g_{256} (x) = - \frac{3}{4}

What is the answer to 0.223=-ln(1-p) ?
The answer to 0.223=-ln(1-p) is p=(-1+e^{0.223})/(e^{0.223)}
Solve for p: 0.223=-ln(1-p)
The solution is p=(-1+e^{0.223})/(e^{0.223)}