Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 25

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\ln \sqrt [ 3 ] { e x }$

• A) \(\frac { 1 } { 3 } + \ln x\)
• B) \(\frac { 1 } { 3 } \ln \mathrm { e } + \frac { 1 } { 3 } \ln \mathrm { x }\)
• C) \(\frac { 1 } { 3 } + \frac { 1 } { 3 } \ln x\)
• D) \(\frac { 1 } { 3 } \ln ( e x )\)

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Definitions:

Queue

A linear data structure that follows a first in, first out (FIFO) principle, where elements are added at one end (rear) and removed from the other end (front).

IsEmpty()

A function commonly used in programming to check whether a data structure, such as an array or string, contains any elements or not.

IsFull()

Likely a user-defined function to check if a data structure (such as a stack or queue) has reached its maximum capacity.

Dynamically Linked List

A data structure consisting of nodes linked together in a sequence, where each node contains data and a pointer to the next node, allowing for efficient insertion and deletion.