Question

determine whether or not the following sentence is a logical statement.

(64 = 2^{5})

• statement
• not a statement

Explanation:

Define a logical statement

A logical statement is a declarative sentence that is either definitively true or definitively false, but not both.

Evaluate the given sentence

The sentence \(64 = 2^5\) is a mathematical assertion. Since \(2^5 = 32\), the assertion is false. Because it can be classified as definitively false, it is a logical statement.

Answer:

• Statement (Correct answer)
• Not a statement