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Popular >

4=6*e^{-0.009x}

Solution

4 = 6 \cdot e^{- 0.009 x}

Solution

x = - \frac{ln ( \frac{2}{3} )}{0.009}

+1

Decimal Notation

x = 45.05167 \dots

Solution steps

4 = 6 e^{- 0.009 x}

Switch sides

6 e^{- 0.009 x} = 4

Divide both sides by

6

e^{- 0.009 x} = \frac{2}{3}

Apply exponent rules

- 0.009 x = ln (\frac{2}{3})

Solve

- 0.009 x = ln (\frac{2}{3}) : x = - \frac{ln ( \frac{2}{3} )}{0.009}

x = - \frac{ln ( \frac{2}{3} )}{0.009}

Popular Examples

sqrt(5^{x+2)}=25^{x-2}

5^{x + 2} = 2 5^{x - 2}

1 0^{x} = 0.001

2^{9x+2}=16^{5x-2}

2^{9 x + 2} = 1 6^{5 x - 2}

e^{x} = 12

4^{x} = 9

Frequently Asked Questions (FAQ)

What is the answer to 4=6*e^{-0.009x} ?
The answer to 4=6*e^{-0.009x} is x=-(ln(2/3))/(0.009)