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Popular >

6e^{-4k-10}-4=63

Solution

6 e^{- 4 k - 10} - 4 = 63

Solution

k = - \frac{ln ( \frac{67}{6} ) + 10}{4}

+1

Decimal Notation

k = - 3.10323 \dots

Solution steps

6 e^{- 4 k - 10} - 4 = 63

Move

4

to the right side

6 e^{- 4 k - 10} = 67

Divide both sides by

6

e^{- 4 k - 10} = \frac{67}{6}

Apply exponent rules

- 4 k - 10 = ln (\frac{67}{6})

Solve

- 4 k - 10 = ln (\frac{67}{6}) : k = - \frac{ln ( \frac{67}{6} ) + 10}{4}

k = - \frac{ln ( \frac{67}{6} ) + 10}{4}

Popular Examples

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e^{x} = e^{- x}

Frequently Asked Questions (FAQ)

What is the answer to 6e^{-4k-10}-4=63 ?
The answer to 6e^{-4k-10}-4=63 is k=-(ln(67/6)+10)/4