Expand into Sums And/or Differences of Logarithms $\log _ { 1 / 2 } ( a b c )$

question 42

Multiple Choice

Expand into sums and/or differences of logarithms. Assume all variables represent positive real numbers. $\log _ { 1 / 2 } ( a b c )$

• A) \(\frac { 1 } { 2 } \log a + \frac { 1 } { 2 } \log b + \frac { 1 } { 2 } \log c\)
• B) \(\left( \log _ { 1 / 2 } a \right) \left( \log _ { 1 / 2 } b \right) \left( \log _ { 1 / 2 } c \right)\)
• C) \(\log _ { 1 / 2 } a - \log _ { 1 / 2 } b - \log _ { 1 / 2 } c\)
• D) \(\log _ { 1 / 2 } a + \log _ { 1 / 2 } b + \log _ { 1 / 2 } c\)

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Definitions:

Ledger

A comprehensive collection of all accounts and financial transactions of a company, organization, or individual.

Account Numbers

Unique identifiers assigned to individual accounts in an organization's chart of accounts, facilitating accurate recording, classification, and reporting of financial transactions.

Normal Credit Balances

Accounts with a credit balance as expected in the accounting equation; for instance, liabilities, equity, and revenue accounts normally have credit balances.

Revenues

The total amount of money received by a company for goods sold or services provided during a certain period of time.