Assume That X,y,and Z Are Positive Numbers $- 2 \log _ { b } x - 6 \log _ { b } y + \frac { 1 } { 7 } \log _ { b } z$

question 41

Multiple Choice

Assume that x,y,and z are positive numbers.Use the properties of logarithms to write the expression $- 2 \log _ { b } x - 6 \log _ { b } y + \frac { 1 } { 7 } \log _ { b } z$ as the logarithm of one quantity. ?

• A) \(\log _ { b } \frac { z ^ { 1 / 7 } } { x ^ { 6 } y ^ { 2 } }\)
• B) \(\log _ { b } \frac { z ^ { 1 / 6 } } { x ^ { 2 } y ^ { 7 } }\)
• C) \(\log _ { b } \frac { z ^ { 1 / 2 } } { x ^ { 7 } y ^ { 6 } }\)
• D) \(\log _ { b } \frac { x ^ { 1 / 7 } } { y ^ { 2 } z ^ { 6 } }\)
• E) \(\log _ { b } \frac { z ^ { 1 / 7 } } { x ^ { 2 } y ^ { 6 } }\)

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Definitions:

Financing

The process of providing funds for business activities, making purchases, or investing.

Opportunity Cost

The opportunity cost is the value of the best alternative forgone when a decision is made to take a specific action, representing the trade-offs inherent in every decision.

Regions

Geographical areas defined by specific characteristics, boundaries, or features that set them apart from other areas.

Misallocation

Inefficient distribution or use of resources, often resulting in reduced economic efficiency or productivity.