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Popular >

62=75e^{-10k}

Solution

62 = 75 e^{- 10 k}

Solution

k = - \frac{ln ( \frac{62}{75} )}{10}

+1

Decimal Notation

k = 0.01903 \dots

Solution steps

62 = 75 e^{- 10 k}

Switch sides

75 e^{- 10 k} = 62

Divide both sides by

75

e^{- 10 k} = \frac{62}{75}

Apply exponent rules

- 10 k = ln (\frac{62}{75})

Solve

- 10 k = ln (\frac{62}{75}) : k = - \frac{ln ( \frac{62}{75} )}{10}

k = - \frac{ln ( \frac{62}{75} )}{10}

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3^{(1 - 2 x)} 3^{2} = 1

e^{(8 - 4 x)} = 7

0.05=5(10^{-0.01x})

0.05 = 5 (1 0^{- 0.01 x})

Frequently Asked Questions (FAQ)

What is the answer to 62=75e^{-10k} ?
The answer to 62=75e^{-10k} is k=-(ln(62/75))/(10)