Use the Properties of Logarithms to Rewrite the Expression $$\log b \left( \frac { m ^ { 2 } p ^ { 6 } } { n ^ { 4 } b ^ { 8 } } \right)$$

question 297

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent
positive real numbers.
- $$\log b \left( \frac { m ^ { 2 } p ^ { 6 } } { n ^ { 4 } b ^ { 8 } } \right)$$

• A) \(m ^ { 2 } p ^ { 6 } - n ^ { 4 } b ^ { 8 }\)
• B) \(\log _ { b } m ^ { 2 } + \log _ { b } p ^ { 6 } + \log _ { b } n ^ { 4 } - \log _ { b } b ^ { 8 }\)
• C) \(2 \log _ { b } m + 6 \log _ { b } p - 4 \log _ { b } n - 8\)
• D) \(2 \log _ { b } m + 6 \log _ { b } p - 4 \log _ { b } n + 8\)

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