Use the Properties of Logarithms to Rewrite the Expression $\log b \sqrt [ 3 ] { \frac { x ^ { 6 } } { y ^ { 2 } z ^ { 8 } } }$

question 275

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers.
- $\log b \sqrt [ 3 ] { \frac { x ^ { 6 } } { y ^ { 2 } z ^ { 8 } } }$

• A) \(2 \log _ { b } x \div \left( \frac { 2 } { 3 } \log _ { b y } \cdot \frac { 8 } { 3 } \log _ { b } z \right)\)
• B) \(\frac { 1 } { 3 } \log _ { b } x ^ { 6 } - \log _ { b } y ^ { 2 } - \log _ { b } z ^ { 8 }\)
• C) \(6 \log _ { b } x - 2 \log _ { b } y - 8 \log _ { b } z\)
• D) \(2 \log _ { b } x - \frac { 2 } { 3 } \log _ { b } y - \frac { 8 } { 3 } \log _ { b } z\)

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