Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 98

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $$\log _ { 3 } \left( \frac { 7 } { 13 } \right)$$

• A) \(\log _ { 3 } 7 - \log _ { 3 } 13\)
• B) \(\log _ { 3 } 13 - \log _ { 3 } 7\)
• C) \(\log _ { 3 } 7 + \log _ { 3 } 13\)
• D) \(\frac { \log _ { 3 } 7 } { \log _ { 3 } 13 }\)

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Definitions:

DA Equation

A mathematical expression utilized to facilitate the unit conversion process through the principle of dimensional consistency.

Capsules

A small soluble container, usually made of gelatin, that encloses a dose of medication or supplement for oral consumption.

Dimensional-Analysis

A mathematical method used to convert one set of measurements to another, ensuring that dimensional consistency and unit conversion are accurately applied.

Conversion Factor

A ratio or factor used to convert quantities expressed in one set of units to another by multiplication or division.