Write the Following Expression as a Logarithm of a Single $5 \ln x - 3 \ln \left( x ^ { 2 } + 3 \right)$

question 114

Multiple Choice

Write the following expression as a logarithm of a single quantity. $5 \ln x - 3 \ln \left( x ^ { 2 } + 3 \right)$

• A) \(\ln \left( \frac { x ^ { 5 } } { 3 \left( x ^ { 2 } + 3 \right) } \right)\)
• B) \(\ln \left( \frac { x ^ { 5 } } { \left( x ^ { 2 } + 3 \right) ^ { 3 } } \right)\)
• C) \(\ln \left( x ^ { 5 } - \left( x ^ { 2 } + 3 \right) ^ { 3 } \right)\)
• D) \(\ln \left( 5 x - 3 \left( x ^ { 2 } + 3 \right) \right)\)
• E)none of the above

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Definitions:

Inclined Surface

A flat area angled relative to a horizontal or vertical plane, commonly considered in design and manufacturing for functionality or aesthetic purposes.

Perpendicular Surface

A surface that forms a right angle (90 degrees) with another surface or the base line of reference.

Rolled Edge

A finishing feature where the edge of a metal sheet, part, or component is curved or folded over to eliminate sharp edges or increase strength.

Folding Metal

The process of bending metal sheets along a straight line to alter their shape for manufacturing or structural purposes.