Use the Laws of Logarithms to Write the Expression as the Logarithm

question 107

Multiple Choice

Use the laws of logarithms to write the expression as the logarithm of a single quantity.
$4 \ln 3 - \frac { 3 } { 4 } \ln ( x + 3 )$

• A) \(\ln \frac { 81 } { ( x + 3 ) ^ { 3 / 4 } }\)
• B) \(\frac { 3 \ln 81 } { 4 ( x + 3 ) }\)
• C) \(\ln 3 ^ { 4 } - \ln ( x + 3 ) ^ { 3 / 4 }\)
• D) \(\frac { 4 \ln 3 } { \frac { 3 } { 4 } \ln ( x + 3 ) }\)

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Definitions:

Cephalocaudal Development

The pattern of growth in humans where development proceeds from the head (cephalo-) toward the lower part of the body (caudal).

Head To Feet

Refers to the developmental progression in infants, where control and coordination start from the head and gradually move towards the feet.

Embyonic Stage

A critical phase in prenatal development spanning from fertilization until about the eighth week, where major organs and structures begin to form in the embryo.

Peripheral Vision

The area of visual perception that occurs outside the central area of focus; it allows humans to perceive movement and objects in their wider field of vision.