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Popular >

-e^{-k/4}+1=0.05

Solution

- e^{- \frac{k}{4}} + 1 = 0.05

Solution

k = - 4 ln (0.95)

+1

Decimal Notation

k = 0.20517 \dots

Solution steps

- e^{- \frac{k}{4}} + 1 = 0.05

Move

1

to the right side

- e^{- \frac{k}{4}} = - 0.95

Divide both sides by

- 1

e^{- \frac{k}{4}} = 0.95

Apply exponent rules

- \frac{k}{4} = ln (0.95)

Solve

- \frac{k}{4} = ln (0.95) : k = - 4 ln (0.95)

k = - 4 ln (0.95)

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Frequently Asked Questions (FAQ)

What is the answer to -e^{-k/4}+1=0.05 ?
The answer to -e^{-k/4}+1=0.05 is k=-4ln(0.95)