Use the Properties of Logarithms to Expand the Quantity $$11 \ln \sqrt { a \left( b ^ { 2 } + c ^ { 2 } \right) }$$

question 143

Short Answer

Use the properties of logarithms to expand the quantity.
$$11 \ln \sqrt { a \left( b ^ { 2 } + c ^ { 2 } \right) }$$

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Definitions:

Factor Price

The payment for the use of a factor of production, such as labor wages, rent for land, or interest for capital.

Production Function

A mathematical representation outlining how inputs are transformed into outputs in a production process.

Profit-maximizing

The business objective of achieving the highest possible profit from operations, achieved by balancing costs and revenues.

Factor Price

The payment received by a factor of production, for example, wages for labor, rent for land, or interest for capital.