Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 144

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log _ { b } \left( \frac { x y ^ { 7 } } { z ^ { 2 } } \right)$

• A) \(\log _ { \mathrm { b } } \mathrm { x } + 7 \log _ { \mathrm { b } } \mathrm { y } - 2 \log _ { \mathrm { b } } \mathrm { z }\)
• B) \(\log _ { \mathrm { b } } \mathrm { x } + \log _ { \mathrm { b } } \mathrm { y } ^ { 7 } - \log _ { \mathrm { b } } \mathrm { z } ^ { 2 }\)
• C) \(\log _ { \mathrm { b } } \mathrm { x } + \log _ { \mathrm { b } } \mathrm { y } ^ { 7 } + \log _ { \mathrm { b } ^ { \mathrm { z } } } 2\)
• D) \(\log _ { \mathrm { b } } \mathrm { x } + 7 \log _ { \mathrm { b } } \mathrm { y } + 2 \log _ { \mathrm { b } } \mathrm { z }\)

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Definitions:

Permanent Inventory Loss

Losses resulting from discrepancies between actual stock levels and recorded inventory due to theft, damage, or miscounting that cannot be recovered.

Quarterly Income Statement

A financial report that shows the revenue, expenses, and net income of a company over a three-month period.

Vertical Analysis

A method of financial statement analysis in which each entry for each of the three major categories of accounts (or line items) in a balance sheet is represented as a proportion of the total account.

Operating Results

Operating Results refer to the financial outcomes derived from a company's core business operations, excluding non-operating income and expenses, reflecting the company's operational effectiveness.