Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 10

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $$\log _ { b } \left( y z ^ { 8 } \right)$$

• A) \(8 \log _ { b } y + 8 \log _ { b } z\)
• B) \(\log _ { b } y + 8 \log _ { b } z\)
• C) \(8 \log _ { b } ( y z )\)
• D) \(\log _ { b } y + \log _ { b } ( 8 z )\)

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Definitions:

Acetylene

A hydrocarbon and the simplest alkyne, with the formula C2H2, used as a fuel and a chemical building block.

Ethyne

A colorless hydrocarbon gas with the formula C2H2, known for its use in welding as acetylene.

Molecular Shape

The three-dimensional configuration of atoms within a molecule, determining many of the properties of the molecule, including reactivity and biological activity.

Phosphine

A toxic, flammable gas composed of phosphorus and hydrogen, used as an insecticide and in various industrial processes.