Solve the Equation by Expressing Each Side as a Power $$32 ^ { x } = \frac { 1 } { \sqrt { 2 } }$$

question 231

Multiple Choice

Solve the equation by expressing each side as a power of the same base and then equating exponents.
- $$32 ^ { x } = \frac { 1 } { \sqrt { 2 } }$$

• A) \(\left\{ - \frac { 1 } { 10 } \right\}\)
• B) \(\left\{ \frac { 1 } { 10 } \right\}\)
• C) \(\left\{ - \frac { 1 } { 5 } \right\}\)
• D) \(\{ - 5 \}\)

---

Definitions:

Sapir And Whorf

Proposers of the Sapir-Whorf hypothesis, which suggests that the structure of a language affects its speakers' world view or cognition.

Skinner And Watson

B.F. Skinner and John B. Watson are prominent figures in the development of behaviorism, an approach in psychology emphasizing the study of observable behavior over internal mental processes.

Tolman And Thorndike

Edward C. Tolman is known for his work on cognitive maps in rats, while Edward L. Thorndike is recognized for his Law of Effect in learning theory, illustrating early behavioral psychology concepts.

Cognitive Health

The state of optimal functioning of one's memory, learning, reasoning, problem-solving, and other cognitive capacities.