Find the Value of the Expression $\log _ { b } A = 4$

question 138

Multiple Choice

Find the value of the expression.
-Let $\log _ { b } A = 4$ and $\log _ { b } B = - 5$ . Find $\log _ { b } 2 \sqrt { A B }$ .

• A) \(- 0.500\)
• B) \(- 4.472\)
• C) \(4.472\)
• D) \(2 \sqrt { - 20 }\)

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Definitions:

1-butanol

An organic compound, also known as butyl alcohol, a four-carbon straight-chain alcohol with the chemical formula C4H9OH, used as a solvent and in the manufacture of other chemicals.

Structural Formula

A graphical representation showing the arrangement of atoms within a molecule, indicating how they are connected.

2-butanol

An organic compound, also known as sec-butanol, which is a type of alcohol with four carbon atoms and a secondary hydroxyl group.

3-butanol

An organic compound, also known as butyl alcohol, with the formula C4H10O, used as a solvent and in the manufacture of other chemicals.