Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 173

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log _ { 7 } \left( \frac { \sqrt [ 3 ] { p } \sqrt [ 5 ] { q } } { t ^ { 2 } } \right)$

• A) \(\frac { 1 } { 3 } \log _ { 7 } p + \frac { 1 } { 5 } \log _ { 7 } q - 2 \log _ { 7 } t\)
• B) \(\frac { 1 } { 3 } \log _ { 7 } p \cdot \frac { 1 } { 5 } \log _ { 7 } q \div 2 \log _ { 7 } \mathrm { t }\)
• C) \(\frac { 3 } { 7 } \log _ { 7 } p + \frac { 5 } { 7 } \log _ { 7 } q - \frac { 2 } { 7 } \log _ { 7 } \mathrm { t }\)
• D) \(3 \log _ { 7 } p + 5 \log _ { 7 } q - 2 \log _ { 7 } \mathrm { t }\)

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Definitions:

Budgeted Income Statement

A financial statement that projects income, expenses, and net profit for a future period based on management's expectations and budgeting process.

Sales Budget

A detailed forecast of anticipated sales, often forming the basis for the company's production and marketing plans.

Merchandise Purchases Budget

A financial plan detailing the amount to be spent on acquiring inventory for sale during a certain period.

Budgeted Balance Sheet

A financial statement that projects the financial position of a company at a future date, based on estimated revenues, expenses, and capital expenditures.