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) \(\{ - 5 \}\)

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Definitions:

Total Cost

The sum of all expenses incurred in the production of a good or service, including both fixed and variable costs.

Marginal Cost

The expense associated with manufacturing an extra unit of a product.

Average Total Cost

The total cost of production (fixed and variable costs combined) divided by the quantity of output produced.

Total Variable Cost

The total of all costs that vary with the level of output, including costs such as materials and labor.