Rewrite as a Single Logarithm Using the Product Rule for Logarithms

question 55

Multiple Choice

Rewrite as a single logarithm using the product rule for logarithms. Assume all variables represent positive real
numbers.
- $\log _ { 5 } x + \log _ { 5 } y$

• A) \(\log _ { 10 } ( \mathrm { x } + \mathrm { y } )\)
• B) \(\log _ { 5 } ( x y )\)
• C) \(\log _ { 5 } ( x + y )\)
• D) \(\log _ { 10 } ( x y )\)

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Definitions:

I Proposition

In traditional logic, an "I proposition" is a type of categorical proposition that affirms some, but not all, members of the subject class are members of the predicate class, often structured as "Some S are P."

Explicit Quantifiers

Symbols or phrases in logic that explicitly specify the quantity of subjects to which a statement applies.

Universal

A term referring to concepts, properties, or statements that apply universally, without exceptions.

Particular

In philosophy, an individual object as opposed to a universal quality; distinguished from general or universal by being specific or detailed.