Solve the Equation $$\log _ { 2 } x = - 3$$

question 31

Multiple Choice

Solve the equation. Use a calculator where appropriate. If the answer is irrational, round to the nearest hundredth.
- $$\log _ { 2 } x = - 3$$

• A) \(\frac { 1 } { 8 }\)
• B) \(\frac { 1 } { 6 }\)
• C)-8
• D)8

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Definitions:

Order Of Operations

The rules determining the sequence in which operations (addition, subtraction, multiplication, and division) should be carried out in a mathematical expression.

Compound Interest

Interest that is figured on the base amount initially invested or borrowed, along with the previously gathered interest.

Exponential Functions

Mathematical functions representing growth or decay at a constantly increasing or decreasing rate, often used in modeling population growth or radioactive decay.

Compound Interest

This refers to interest earned or paid on the initial amount of a deposit or loan, plus any interest that has accrued over time.