Solve the Problem $\mathrm { u } = \ln \mathrm { a }$

question 30

Multiple Choice

Solve the problem.
-Let $\mathrm { u } = \ln \mathrm { a }$ and $\mathrm { v } = \ln \mathrm { b }$ . Write the following expression in terms of $u$ and $\mathrm { v }$ without using the function $\ln$ .
$\ln \left( b ^ { 4 } \sqrt [ 3 ] { a } \right)$

• A) \(4 \mathrm { v } + \frac { \mathrm { u } } { 3 }\)
• B) \(4 \mathrm { v } + \frac { \mathrm { u } } { 4 }\)
• C) \(4 \mathrm { v } - \frac { \mathrm { u } } { 3 }\)
• D) \(4 \mathrm { v } + 3 \mathrm { u }\)

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Definitions:

Statement Of Changes

A financial statement that shows how a company's equity has changed during a specific period due to various factors like profits, losses, and dividend payments.

Shareholders' Equity

The residual interest or ownership held by investors in the assets of a corporation after deducting all its liabilities.

Adjusted Trial Balance

A list of all accounts and their balances after adjustments have been made, used to ensure that total debits equal total credits before preparing financial statements.

Ledger Account Balances

The current balances in ledger accounts, reflecting all transactions recorded over time.