Use the One-to-One Property to solve the equation for x. $\left( \frac { 1 } { 2 } \right) ^ { x } = 4$
A) $x = 3$
B) $x = - 2$
C) $x = 2$
D) $x = - 3$
E) $x = 4$

Question

Use the One-to-One Property to solve the equation for x.​ $\left( \frac { 1 } { 2 } \right) ^ { x } = 4$ ​
A) $x = 3$
B) $x = - 2$
C) $x = 2$
D) $x = - 3$
E) $x = 4$

Quizplus · Accepted Answer

The One-to-One Property of exponential functions allows us to set the exponents equal to each other when the bases are the same. In this case, we can rewrite 4 as $(\frac{1}{2})^{-2}$, because $(\frac{1}{2})^{-2} = 4$. Therefore, $x = -2$.

Use the One-To-One Property to Solve the Equation for X (12)x=4\left( \frac { 1 } { 2 } \right) ^ { x } = 4(21​)x=4

Use the One-To-One Property to Solve the Equation for X $\left( \frac { 1 } { 2 } \right) ^ { x } = 4$