Let $\mathrm { u } = \ln \mathrm { a }$

question 259

Multiple Choice

Let $\mathrm { u } = \ln \mathrm { a }$ and $\mathrm { v } = \ln \mathrm { b }$ . Write the following expression in terms of $\mathrm { u }$ and $\mathrm { v }$ without using the function ln. $\ln \left( b ^ { 2 } \sqrt [ 5 ] { a } \right)$

• A) \(2 \mathrm { v } = \frac { \mathrm { u } } { 5 }\)
• B) \(2 \mathrm { v } + \frac { \mathrm { u } } { 2 }\)
• C) \(2 v + 5 u\)
• D) \(2 v + \frac { u } { 5 }\)

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Definitions:

Total Cost

The sum of fixed and variable costs incurred by a firm in producing and selling a product.

Profitable Level

The point at which a company's revenues exceed its costs, leading to financial gain or profit.

Minimal Losses

The smallest amount of losses that can be incurred, typically used in the context of minimizing financial or operational losses.

Marginal Revenue

The increase in earnings resulting from the sale of one extra good or service.