Pre-Algebra Examples

$f (0) = 90 e^{- 0.3 x} + 10$

Step 1

Rewrite the equation as $90 e^{- 0.3 x} + 10 = f (0)$ .

$90 e^{- 0.3 x} + 10 = f (0)$

Step 2

Multiply $f$ by $0$ .

$90 e^{- 0.3 x} + 10 = 0$

Step 3

Subtract $10$ from both sides of the equation.

$90 e^{- 0.3 x} = - 10$

Step 4

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

$\ln (90 e^{- 0.3 x}) = \ln (- 10)$

Step 5

The equation cannot be solved because $\ln (- 10)$ is undefined.

Undefined

Step 6

There is no solution for $90 e^{- 0.3 x} = - 10$

No solution