Solve the Logarithmic Equation Algebraically $$2 \log _ { 2 } ( 0.5 x ) = 23$$

question 37

Multiple Choice

Solve the logarithmic equation algebraically. Approximate the result to three decimal places. $$2 \log _ { 2 } ( 0.5 x ) = 23$$

• A) \(2 \left( 2 ^ { 23 / 2 } \right) \approx 5,792.619\)
• B) \(2 \left( 2 ^ { 23 / 2 } \right) \approx 5,794.619\)
• C) \(2 \left( 2 ^ { 23 / 2 } \right) \approx 5,790.619\)
• D) \(2 \left( 2 ^ { 23 / 2 } \right) \approx 5,791.619\)
• E) \(2 \left( 2 ^ { 23 / 2 } \right) \approx 5,793.619\)

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Definitions:

Histogram

A type of bar graph used in statistics to represent the distribution of a dataset by showing the frequencies of different intervals of values.

Tails

Refers to the extreme ends of the distribution curve, highlighting areas of very low probability in statistical analysis.

Coefficient of Variation

A measure of relative variability that expresses the standard deviation as a proportion of the mean, commonly used to compare the degree of variation from one data series to another.

Dispersion

The degree to which a distribution is stretched or squeezed, often measured by statistics such as range, variance, or standard deviation.