Rewrite as a Single Logarithm $2 \log _ { b } m - \frac { 4 } { 5 } \log _ { b } n + \frac { 1 } { 6 } \log _ { b } j - 4 \log _ { b } k$

question 275

Multiple Choice

Rewrite as a single logarithm.
- $2 \log _ { b } m - \frac { 4 } { 5 } \log _ { b } n + \frac { 1 } { 6 } \log _ { b } j - 4 \log _ { b } k$

• A) \(\log _ { b } \frac { m ^ { 2 } k ^ { 4 } } { j 1 / 6 n ^ { 4 / 5 } }\)
• B) \(\log _ { b } \frac { m ^ { 2 } n ^ { 4 / 5 } } { j 1 / 6 k ^ { 4 } }\)
• C) \(\log _ { b } \left( 2 m - \frac { 4 } { 5 } n + \frac { 1 } { 6 } j - 4 k \right)\)
• D) \(\log _ { b } \frac { m ^ { 2 } j ^ { 1 / 6 } } { n ^ { 4 / 5 } k ^ { 4 } }\)

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Definitions:

Marginal Utilities

The incremental satisfaction or utility obtained through the consumption of an extra unit of a product or service.

Hard Candies

A type of confectionery that is based on sugar and other sweeteners, hardened into a solid mass.

Taste and Preference

The subjective individual factors that influence consumers' decisions to purchase or not purchase a product or service.

Marginal Utility

Extra pleasure or advantage gained by consuming one more unit of a good or service.