Expand Assume That All Variables Represent Positive Real Numbers $\log _ { b } \left( \frac { x y ^ { 8 } } { z ^ { 7 } } \right)$

question 9

Multiple Choice

Expand. Assume that all variables represent positive real numbers.
- $\log _ { b } \left( \frac { x y ^ { 8 } } { z ^ { 7 } } \right)$

• A) \(\log _ { b } x + \log _ { b } y ^ { 8 } - \log _ { b } z ^ { 7 }\)
• B) \(\log _ { \mathrm { b } } x + 8 \log _ { \mathrm { b } } \mathrm { y } - 7 \log _ { \mathrm { b } } z\)
• C) \(\log _ { b } x + 8 \log _ { b } y + 7 \log _ { b } z\)
• D) \(\log _ { b } x + \log _ { b } y ^ { 8 } + \log _ { b } z ^ { 7 }\)

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Definitions:

Controllable Variance

The difference between actual costs and budgeted costs that a manager has direct control over in a given period.

Favorable Volume Variances

Differences between the expected volume of production or sales and the actual volume that lead to lower costs or higher profits than planned.

Production Capacity

The maximum output that an organization can produce in a given period under normal working conditions, considering available resources.

Work Stoppages

Occurrences when employees halt work, often due to labor disputes or strikes, affecting productivity and operations.