Use the Properties of Logarithms to Simplify the Logarithmic Expression $\log _ { 5 } \sqrt { 175 }$

question 32

Multiple Choice

Use the properties of logarithms to simplify the logarithmic expression below. $\log _ { 5 } \sqrt { 175 }$

• A) \(2 \log _ { 5 } 7\)
• B) \(1 + \frac { 1 } { 2 } \log _ { 5 } 7\)
• C) \(2 + \frac { 1 } { 2 } \log _ { 5 } 7\)
• D) \(2 + \log _ { 5 } 7\)
• E) \(1 + \log _ { 5 } 7\)

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Definitions:

Operating Characteristics

The specific conditions or parameters within which a device or system is designed to function, such as voltage, speed, and temperature ranges.

Compressors

Mechanical devices that increase the pressure of a gas by reducing its volume, commonly used in air conditioning, refrigeration, and pneumatic applications.

Start Capacitor

A temporary capacitor that increases the starting torque of a motor by introducing a leading current to the auxiliary winding.

Auxiliary Winding

A secondary winding in a motor or transformer used to provide additional electrical pathways or support the main winding.