Finite Math Examples

$f (x) = 0.02 (1 - e^{- 0.2 \cdot 5})$

Step 1

Set $0.02 (1 - e^{- 0.2 \cdot 5})$ equal to $0$ .

$0.02 (1 - e^{- 0.2 \cdot 5}) = 0$

Step 2

Solve for $x$ .

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Step 2.1

Simplify $0.02 (1 - {(2.71828182)}^{- 0.2 \cdot 5})$ .

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Step 2.1.1

Simplify each term.

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Step 2.1.1.1

Multiply $- 0.2$ by $5$ .

$0.02 (1 - {2.71828182}^{- 1}) = 0$

Step 2.1.1.2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$0.02 (1 - \frac{1}{2.71828182}) = 0$

Step 2.1.1.3

Divide $1$ by $2.71828182$ .

$0.02 (1 - 1 \cdot 0.36787944) = 0$

Step 2.1.1.4

Multiply $- 1$ by $0.36787944$ .

$0.02 (1 - 0.36787944) = 0$

Step 2.1.2

Simplify the expression.

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Step 2.1.2.1

Subtract $0.36787944$ from $1$ .

$0.02 \cdot 0.63212055 = 0$

Step 2.1.2.2

Multiply $0.02$ by $0.63212055$ .

$0.01264241 = 0$

Step 2.2

Since $0.01264241 \neq 0$ , there are no solutions.

No solution