Finite Math Examples

$0 = {(0.5)}^{x} + 4$

Step 1

Rewrite the equation as ${0.5}^{x} + 4 = 0$ .

${0.5}^{x} + 4 = 0$

Step 2

Subtract $4$ from both sides of the equation.

${0.5}^{x} = - 4$

Step 3

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

$\ln ({0.5}^{x}) = \ln (- 4)$

Step 4

The equation cannot be solved because $\ln (- 4)$ is undefined.

Undefined

Step 5

There is no solution for ${0.5}^{x} = - 4$

No solution