Solve the Given Exponential Equation $$2 ^ { x } - 4 x + 2 = 0$$

question 479

Multiple Choice

Solve the given exponential equation. Round answer to three decimal places.
- $$2 ^ { x } - 4 x + 2 = 0$$

• A) \(\{ 1.000 \}\)
• B) \(\{ 12.639 \}\)
• C) \(\{ 3.660 \}\)
• D) \(\{ 1.000,3.660 \}\)

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Definitions:

Average Amount

The sum of numerical values divided by the count of values, providing a central or typical value for a dataset.

Significance Level

The likelihood of incorrectly dismissing the null hypothesis in a statistical analysis, commonly represented by alpha, when it is in fact correct.

Type I Error

The mistake of rejecting the null hypothesis when it is actually true, commonly referred to as a "false positive" result.

Alpha (α)

A pre-specified significance level in hypothesis testing, representing the probability of making a Type I error, or falsely rejecting the null hypothesis.