Write the Expression as a Single Logarithm with Coefficient 1 $a \neq 1 \text { and } b \neq 1$

question 265

Multiple Choice

Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers with $a \neq 1 \text { and } b \neq 1$ .
- $$\left( \log _ { a } x - \log _ { a } y \right) + 5 \log _ { a } z$$

• A) \(\log _ { a } \left( \frac { x z ^ { 5 } } { y } \right)\)
• B) \(\log _ { a } \left( \frac { 5 x z } { y } \right)\)
• C) \(\log _ { a } \left( x + z ^ { 5 } - y \right)\)
• D) \(\log _ { a } \left( \frac { x } { z ^ { 5 } y } \right)\)

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