Solve the Equation $$2 + \log _ { 3 } ( 2 x + 5 ) - \log _ { 3 } x = 4$$

question 170

Multiple Choice

Solve the equation.
- $$2 + \log _ { 3 } ( 2 x + 5 ) - \log _ { 3 } x = 4$$

• A) \(\left\{ \frac { 5 } { 4 } \right\}\)
• B) \(\left\{ \frac { 5 } { 7 } \right\}\)
• C) \(\left\{ \frac { 1 \pm \sqrt { 46 } } { 9 } \right\}\)
• D) \(\left\{ \frac { 1 + \sqrt { 46 } } { 9 } \right\}\)

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Definitions:

Income Sharing

An agreement to distribute earnings or profits among participants, often seen in partnership arrangements or cooperative businesses.

Gains and Losses

Financial terms referring to the money made or lost on the sale of assets, separate from the ordinary operations of the business.

Cash Distribution

The payment of earnings or capital to the members, partners, or shareholders of a company or an organization.

Income and Loss Sharing

A method of partnership where profits and losses are distributed among partners according to their agreed-upon percentages or capital contributions.