Solve the Equation $243 ^ { 3 x - 1 } = 27 ^ { 2 x }$

question 43

Multiple Choice

Solve the equation.
- $243 ^ { 3 x - 1 } = 27 ^ { 2 x }$

• A) \(\left\{ \frac { 9 } { 5 } \right\}\)
• B) \(\left\{ - \frac { 9 } { 5 } \right\}\)
• C) \(\left\{ \frac { 5 } { 9 } \right\}\)
• D) \(\left\{ - \frac { 5 } { 9 } \right\}\)

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Definitions:

Price/Earnings Ratio

A valuation metric for a company that measures its current share price relative to its per-share earnings.

Preferred Dividends

Payments made to preferred shareholders, often at a fixed rate, that take precedence over dividends to common shareholders.

Common Dividends

Profits distributed to shareholders of common stock, reflecting the company's earnings and financial health.

Effective Tax Rate

The average rate at which an individual or business is taxed on their total income, after deductions and credits.