Use the Properties of Logarithms to Rewrite the Expression $$\log b \left( \frac { m ^ { 2 } p ^ { 6 } } { n ^ { 4 } b ^ { 8 } } \right)$$

question 297

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent
positive real numbers.
- $$\log b \left( \frac { m ^ { 2 } p ^ { 6 } } { n ^ { 4 } b ^ { 8 } } \right)$$

• A) \(m ^ { 2 } p ^ { 6 } - n ^ { 4 } b ^ { 8 }\)
• B) \(\log _ { b } m ^ { 2 } + \log _ { b } p ^ { 6 } + \log _ { b } n ^ { 4 } - \log _ { b } b ^ { 8 }\)
• C) \(2 \log _ { b } m + 6 \log _ { b } p - 4 \log _ { b } n - 8\)
• D) \(2 \log _ { b } m + 6 \log _ { b } p - 4 \log _ { b } n + 8\)

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Definitions:

Non-Controlling Interest

The portion of equity interest in a subsidiary not attributable to the parent company, representing minority shareholders' claim on assets and earnings.

Intercompany Gain

Profit derived from transactions between subsidiaries or divisions of the same company.

Consolidated Income Statement

Consolidated Income Statement is a financial statement that aggregates the financial performance of a company and its subsidiaries, presenting the overall income, expenses, and net income.

Gain on Sale

Gain on Sale is the financial profit made from selling an asset for more than its purchase price or book value, excluding the costs associated with the sale.