Use the Quotient Rule
Use Properties of Logarithms to Expand $\log _ { 3 } \left( \frac { 2 } { 5 } \right)$

question 86

Multiple Choice

Use the Quotient Rule
Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log _ { 3 } \left( \frac { 2 } { 5 } \right)$

• A) \(\log _ { 3 } 2 - \log _ { 3 } 5\)
• B) \(\log _ { 3 } 2 + \log _ { 3 } 5\)
• C) \(\log _ { 3 } 5 - \log _ { 3 } 2\)
• D) \(\frac { \log _ { 3 } 2 } { \log _ { 3 } 5 }\)

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Definitions:

Joints

Natural fractures or separations in rocks, which do not involve significant displacement.

Unloaded

Refers to the removal of weight or pressure from a structure, object, or area.

Weather

The state of the atmosphere at a particular place and time, including temperature, precipitation, humidity, and wind.

Limestone

A sedimentary rock primarily comprising calcium carbonate (CaCO3), often formed from the skeletal remains of marine organisms.