Solve the Equation by Expressing Each Side as a Power $729 ^ { x } = 81$

question 105

Multiple Choice

Solve the equation by expressing each side as a power of the same base and then equating exponents.
- $729 ^ { x } = 81$

• A) \(\left\{ \frac { 2 } { 3 } \right\}\)
• B) \(\left\{ \frac { 3 } { 2 } \right\}\)
• C) \(\left\{ \frac { 4 } { 5 } \right\}\)
• D) \(\{ 4 \}\)

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Definitions:

At-risk Amount

The amount of money in a particular investment that can be claimed as a deduction in the event of a loss.

Passive Activities

Economic activities in which the investor does not materially participate, and which often have different tax implications, such as rental property income.

Suspended Losses

Suspended Losses are losses from passive activities that exceed passive income, which cannot currently be deducted but can be carried forward to offset future passive income.

Net Passive Loss

The total loss from passive activities, exceeding the income from those activities, that cannot usually offset other types of income for tax purposes.