Use the Properties of Logarithms to Rewrite the Expression $\log \sqrt { \frac { 4 x ^ { 5 } } { z ^ { 3 } } }$

question 32

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent
positive real numbers.
- $\log \sqrt { \frac { 4 x ^ { 5 } } { z ^ { 3 } } }$

• A) \(\sqrt { \log _ { b } 4 } + \sqrt { \log _ { b } x ^ { 5 } } - \sqrt { \log _ { b } z ^ { 3 } }\)
• B) \(\log _ { b } 2 + \frac { 5 } { 2 } \log _ { b } x - \frac { 3 } { 2 } \log b z\)
• C) \(\log _ { b } 2 \cdot \frac { 5 } { 2 } \log _ { b } x - \frac { 3 } { 2 } \log _ { b } z\)
• D) \(\left( \log _ { b } 2 + + \frac { 5 } { 2 } \log _ { b } x \right) \div \frac { 3 } { 2 } \log _ { b } z\)

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Definitions:

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