Precalculus Examples

$f (x) = 2^{x} + 3$

Step 1

Set $2^{x} + 3$ equal to $0$ .

$2^{x} + 3 = 0$

Step 2

Solve for $x$ .

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Step 2.1

Subtract $3$ from both sides of the equation.

$2^{x} = - 3$

Step 2.2

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

$\ln (2^{x}) = \ln (- 3)$

Step 2.3

The equation cannot be solved because $\ln (- 3)$ is undefined.

Undefined

Step 2.4

There is no solution for $2^{x} = - 3$

No solution