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Popular >

solvefor x,1=ae^{-bx}

Solution

solve for

x, 1 = a e^{- b x}

Solution

x = \frac{ln ( a )}{b}

Solution steps

1 = a e^{- b x}

Switch sides

a e^{- b x} = 1

Divide both sides by

a

e^{- b x} = \frac{1}{a}

Apply exponent rules

- b x = ln (\frac{1}{a})

Solve

- b x = ln (\frac{1}{a}) : x = \frac{ln ( a )}{b}

x = \frac{ln ( a )}{b}

Popular Examples

10=80000(0.85)^x

10 = 80000 (0.85)^{x}

3 \cdot 2^{x + 1} - 64 = 0

3^{x - 2} = 3^{17}

25(5^{2x})+24(5^x)-1=0

25 (5^{2 x}) + 24 (5^{x}) - 1 = 0

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

9^{x} = (\frac{1}{3})^{x^{2} - x}

Frequently Asked Questions (FAQ)

What is the answer to solvefor x,1=ae^{-bx} ?
The answer to solvefor x,1=ae^{-bx} is x=(ln(a))/b