Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 230

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log _ { 5 } ( 7 \cdot 3 )$

• A) \(\log _ { 5 } 7 + \log _ { 5 } 3\)
• B) \(\log _ { 5 } 7 - \log _ { 5 } 3\)
• C) \(\log _ { 5 } 21\)
• D) \(\left( \log _ { 5 } 7 \right) \left( \log _ { 5 } 3 \right)\)

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Definitions:

Stereochemistry

The study of the three-dimensional structures of molecules, focusing on the spatial arrangement of atoms and the implications for the chemical behavior of the compounds.

Fischer Projection

A method of drawing organic molecules to represent three-dimensional structures in two dimensions, showing configurations around chiral centers without requiring wedges or dashes for bonds.

(S)-2-bromobutane

A chiral compound characterized by its specific three-dimensional arrangement, with the bromine atom on the second carbon in its structure.

Enantiomer

One of two stereoisomers that are mirror images of each other but cannot be superimposed, usually differing in optical activity.