Use a calculator to find an approximate solution to the equation.
-$$\left( \frac { 1 } { 2 } \right) ^ { x } = 24$$
A) $4.585$
B) $- 12.000$
C) $- 4.585$
D) $- 0.218$

Question

Quizplus · Accepted Answer

To solve the equation $\left( \frac { 1 } { 2 } \right) ^ { x } = 24$, we can take the logarithm of both sides. Using a calculator to solve for $x$, we find that $x \approx -4.585$, since a base of $1/2$ raised to a negative power results in a number greater than 1.

Use a Calculator to Find an Approximate Solution to the Equation