Write the Expression as a Single Logarithm with Coefficient 1 $\frac { 1 } { 2 } \log _ { 2 } \left( x ^ { 4 } \right) + \frac { 1 } { 4 } \log _ { 2 } \left( x ^ { 4 } \right) - \frac { 1 } { 6 } \log _ { 2 } x$

question 129

Multiple Choice

Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers.
- $\frac { 1 } { 2 } \log _ { 2 } \left( x ^ { 4 } \right) + \frac { 1 } { 4 } \log _ { 2 } \left( x ^ { 4 } \right) - \frac { 1 } { 6 } \log _ { 2 } x$

• A) \(\frac { 7 } { 6 } \log _ { 2 } \left( x ^ { 8 } \right)\)
• B) \(\log _ { 2 } \left( x ^ { 7 } \right)\)
• C) \(\log _ { 2 } \left( \mathrm { x } ^ { 17 / 6 } \right)\)
• D) \(\log _ { 2 } \left( x ^ { 9 / 2 } \right)\)

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Definitions:

Tractor Chassis

The main structural frame of a tractor, to which all other components and systems are attached or supported.

Kingpin

(1) The linkage pin used in a steering knuckle that permits the assembly to pivot, or the tempered steel, coupling pin mounted on a trailer upper coupler that engages with fifth wheel jaws; (2) The lugged pin built into a trailer upper coupler assembly that engages to jaws in a fifth wheel assembly, permitting articulation at the fifth wheel. Forged from middle alloy steels and tempered. In North America, a kingpin is usually welded into the upper coupler; elsewhere, it is more often bolted.

Sliding

The motion where there is continuous contact between a moving object and a surface, often leading to wear or the generation of heat.

Altering Weight

Adjusting the mass distribution in a vehicle or system to change its performance or stability characteristics.