Use Properties of Logarithms to Condense the Logarithmic Expression $$\log _ { 4 } ( x - 3 ) - \log _ { 4 } ( x + 1 )$$

question 160

Multiple Choice

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.
- $$\log _ { 4 } ( x - 3 ) - \log _ { 4 } ( x + 1 )$$

• A) \(\log _ { 4 } \left( \frac { x - 3 } { x + 1 } \right)\)
• B) \(\log _ { 4 } \left( x ^ { 2 } - 2 x - 3 \right)\)
• C) \(\log _ { 4 } \left( \frac { x - 3 } { x - 1 } \right)\)
• D) \(\log _ { 4 } - 4\)

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Definitions:

Initiation

The start phase in various biological and chemical processes, such as the beginning of DNA replication or protein synthesis.

Elongation

In the context of protein synthesis, elongation is the stage during which amino acids are sequentially added to the growing polypeptide chain by the ribosome.

Termination

The process of ending or concluding something, which in biological contexts can refer to the end of a biochemical process or the death of an organism.

Sequence

An ordered list or arrangement where the items follow a specific pattern or are arranged according to specific criteria.