Use the Properties of Logarithms to Rewrite the Expression $\log _ { b } \left( \frac { m ^ { 7 } p ^ { 5 } } { n ^ { 3 } b ^ { 2 } } \right)$

question 320

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers.
- $\log _ { b } \left( \frac { m ^ { 7 } p ^ { 5 } } { n ^ { 3 } b ^ { 2 } } \right)$

• A) \(\log _ { b } m ^ { 7 } + \log _ { b } p ^ { 5 } + \log _ { b } n ^ { 3 } - \log _ { b } b ^ { 2 }\)
• B) \(7 \log _ { b } m + 5 \log _ { b } p - 3 \log _ { b } n + 2\)
• C) \(7 \log _ { b } m + 5 \log _ { b } p - 3 \log _ { b } n - 2\)
• D) \(m ^ { 7 } p ^ { 5 } - n ^ { 3 } b ^ { 2 }\)

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Definitions:

Bundle Sheath Cells

Specialized cells in plant leaves surrounding the vascular bundles, notably in C4 plants, playing a critical role in photosynthesis and carbon fixation.

C4 Pathway

The C4 pathway is a photosynthetic process in some plants that captures carbon dioxide more efficiently in hot, dry climates, enhancing their ability to fix carbon.

Light-Independent Reactions

Also known as the Calvin cycle, these are chemical reactions in photosynthesis that convert carbon dioxide and other compounds into glucose, occurring without the direct need for light.