Use the Properties of Logarithms to Rewrite the Expression $\log _ { b } \sqrt [ 3 ] { \frac { x ^ { 8 } } { y ^ { 4 } z ^ { 7 } } }$

question 126

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers.
- $\log _ { b } \sqrt [ 3 ] { \frac { x ^ { 8 } } { y ^ { 4 } z ^ { 7 } } }$

• A) \(8 \log _ { b } x - 4 \log _ { b } y - 7 \log _ { b } z\)
• B) \(\frac { 8 } { 3 } \log _ { b } x - \frac { 4 } { 3 } \log _ { b y } - \frac { 7 } { 3 } \log _ { b } z\)
• C) \(\frac { 8 } { 3 } \log _ { b } x \div \left( \frac { 4 } { 3 } \log _ { b } y \cdot \frac { 7 } { 3 } \log _ { b } z \right)\)
• D) \(\frac { 1 } { 3 } \log _ { b } x ^ { 8 } - \log _ { b } y ^ { 4 } - \log _ { b } z ^ { 7 }\)

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