Use the Properties of Logarithms to Rewrite the Expression $\log \mathrm { b } \left( \frac { m ^ { 5 } p ^ { 2 } } { n ^ { 4 } b ^ { 8 } } \right)$

question 232

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers.
- $\log \mathrm { b } \left( \frac { m ^ { 5 } p ^ { 2 } } { n ^ { 4 } b ^ { 8 } } \right)$

• A) \(5 \log _ { b } m + 2 \log _ { b } p - 4 \log _ { b } n - 8\)
• B) \(m ^ { 5 } p ^ { 2 } - n ^ { 4 } b ^ { 8 }\)
• C) \(5 \log _ { b } m + 2 \log _ { b } p - 4 \log _ { b } n + 8\)
• D) \(\log _ { b } m ^ { 5 } + \log _ { b } p ^ { 2 } + \log _ { b } n ^ { 4 } - \log b b ^ { 8 }\)

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