Use the Properties of Logarithms to Expand the Expression as a Sum

question 23

Multiple Choice

Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume all variables are positive.)
$$\ln \sqrt [ 6 ] { t }$$

• A) \(\frac { 1 } { 6 } \ln t\)
• B) \(\ln t - \frac { 1 } { 6 }\)
• C) \(\ln t - 6\)
• D) \(\frac { 1 } { 3 } \ln t\)
• E) \(\quad \ln t - \frac { 1 } { 3 }\)

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Definitions:

Profit Objective

The goal a business sets to achieve a specific amount of profit within a certain timeframe.

Pricing Objectives

The goals that a company aims to achieve through its pricing strategy, such as maximizing profit, increasing market share, or discouraging competition.

Pricing Constraints

Limitations on the setting of prices caused by factors like competition, cost of production, and regulatory environments.

Estimate Demand

involves predicting the quantity of a product or service that consumers will purchase, which is crucial for inventory management, pricing strategies, and planning production levels.