Use the Properties of Logarithms to Write the Expression $\ln \left( x \sqrt [ 5 ] { x ^ { 2 } + 8 } \right)$

question 35

Multiple Choice

Use the properties of logarithms to write the expression $\ln \left( x \sqrt [ 5 ] { x ^ { 2 } + 8 } \right)$ as a sum, difference, or multiple of logarithms.

• A) \(\ln x + \frac { 1 } { 8 } \ln \left( x ^ { 2 } + 5 \right)\)
• B) \(\ln \left( x ^ { 2 } + 8 \right) + \frac { 1 } { 5 } \ln x\)
• C) \(\ln x + \frac { 1 } { 5 } \ln \left( x ^ { 2 } + 8 \right)\)
• D) \(\ln \left( x ^ { 2 } + 5 \right) + \frac { 1 } { 8 } \ln x\)
• E) \(\ln x + \ln \left( x ^ { 2 } + 8 \right)\)

Comprehend the calculation and comparison of unit product costs under variable costing and super-variable costing systems.

Understand the principles of super-variable costing and its effect on net operating income.

Calculate net operating income using variable and super-variable costing methods.

Analyze the effect of production and sales volume differences on net operating income.

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Definitions:

Return on Investment

A measure of the profitability of an investment, calculated by dividing the net profit from the investment by the cost of the investment.

Lead Indicators

Metrics that precede an event and can be used to predict future trends or performance outcomes.

Net Book Value

The value of an asset after accounting for depreciation or amortization, representing its current worth on the balance sheet.

Investment Centres

Units or divisions within a company that are responsible for making investment decisions and are evaluated based on their return on investments.