Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 31

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\ln \sqrt { \frac { x } { y } }$

• A) \(\frac { 1 } { 2 } \ln x - \ln y\)
• B) \(\frac { 1 } { 2 } \ln \left( \frac { x } { y } \right)\)
• C) \(\frac { 1 } { 2 } \ln x - \frac { 1 } { 2 } \ln y\)
• D) \(\ln \sqrt { x } - \ln \sqrt { y }\)

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Definitions:

Paid-in Capital

Funds received by a company from selling its shares to investors, representing the capital provided by shareholders for use in the business.

Common Stock

A type of security that represents ownership in a corporation, with holders typically having voting rights and potentially receiving dividends.

Noncumulative

Describes preferences or rights that do not carry over or accumulate if they are not used within a certain period.

Nonparticipating

In the context of insurance or preferred stock, referring to policies or shares that do not entitle the holder to share in profits beyond a specified amount.