Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 38

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible.
- $\log_ 5 \frac { d ^ { 4 } } { ( c - 5 ) ^ { 2 } }$

• A) \(4 \log _ { 5 } d - 2 \log _ { 5 } ( c - 5 )\)
• B) \(\frac { 4 \log _ { 5 } d } { 2 \log _ { 5 } ( c - 5 ) }\)
• C) \(\frac { 4 \log _ { 5 } \mathrm {~d} } { 2 \log _ { 5 } c~ - ~2 \log _ { 5 } 5 }\)
• D) \(2 \left( \log _ { 5 } d - \log_ 5 ( c - 5 ) \right)\)

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Definitions:

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A recognized power or right, often referring to the ability to make decisions and enforce obedience.

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The process of distributing available resources among various projects, tasks, or investments in an efficient manner.

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