Solve the Logarithmic Equation $\log ( 3 + x ) - \log ( x - 3 ) = \log 3$

question 248

Multiple Choice

Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic
expressions. Give the exact answer.
- $\log ( 3 + x ) - \log ( x - 3 ) = \log 3$

• A) \(\{ 6 \}\)
• B) \(\left\{ \frac { 3 } { 2 } \right\}\)
• C) \(\{ - 6 \}\)
• D) \(\varnothing\)

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Definitions:

Hydrogen

The lightest and most abundant chemical element in the universe, with symbol H and atomic number 1, commonly found in water and organic compounds.

Carbon

A chemical element with symbol C, capable of forming many compounds, essential for life, and a major component of biomolecules.

Polypeptide Chain

A linear organic polymer consisting of a large number of amino acid residues bonded together in a chain, forming part of or the whole of a protein molecule.

Amino Acids

Amino acids are organic compounds that combine to form proteins, serving as the building blocks of life, containing an amino group (-NH2) and a carboxyl group (-COOH).