Write as the Sum And/or Difference of Logarithms $\ln \frac { ( 6 x ) \sqrt [ 9 ] { 1 + 3 x } } { ( x - 9 ) ^ { 7 } } , \quad x > 9$

question 460

Multiple Choice

Write as the sum and/or difference of logarithms. Express powers as factors.
- $\ln \frac { ( 6 x ) \sqrt [ 9 ] { 1 + 3 x } } { ( x - 9 ) ^ { 7 } } , \quad x > 9$

• A) \(6 \ln x + \frac { 1 } { 3 } \ln ( 1 + 3 x ) - 7 \ln ( x - 9 )\)
• B) \(\ln 6 + \ln x + \frac { 1 } { 9 } \ln ( 1 + 3 x ) - 7 \ln ( x - 9 )\)
• C) \(\ln 6 + \ln x - 9 \ln ( 1 + 3 x ) - 7 \ln ( x - 9 )\)
• D) \(\ln 6 + \ln x + \frac { 1 } { 9 } \ln ( 1 + 3 x ) - \ln 7 - \ln ( x - 9 )\)

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Definitions:

Job Costing

A cost accounting system that accumulates costs for each individual job or project separately.

Process Costing

Process costing is an accounting method used to allocate the costs of production to units of product, particularly suitable for manufacturing processes that are continuous or produce homogeneous products.

Cost of Products

The total expenditure incurred to bring a product to the market, including production, labor, and material costs.

Cost of Departments

The total expenses associated with operating a specific department within a company, including salaries, supplies, and overhead.