Write the Logarithm as a Sum or Difference of Logarithms $\log _ { 4 } ( 6 a b )$

question 201

Multiple Choice

Write the logarithm as a sum or difference of logarithms. Simplify each term as much as possible.
- $\log _ { 4 } ( 6 a b )$

• A) \(\left( \log _ { 4 } a + \log _ { 4 } b \right) ^ { 6 }\)
• B) \(\log _ { 4 } 6 + \log _ { 4 } ( a + b )\)
• C) \(24 \log _ { 4 } a + 24 \log _ { 4 } b\)
• D) \(\log _ { 4 } 6 + \log _ { 4 } a + \log _ { 4 } b\)

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Definitions:

Extrusive Rock

An igneous rock that forms when magma is erupted onto Earth’s surface; synonymous with volcanic rock.

Igneous Rock

Stone generated by the hardening and crystallization of molten rock material.

Bowens Reaction Series

Bowen's Reaction Series describes the sequence in which minerals crystallize from cooling magma according to their chemical composition and temperature.

Crystallize

The process by which a solid forms, where the atoms or molecules are highly structured in a pattern known as a crystal lattice.