Write the Expression as Sums or Differences of Multiples of Logarithms

question 137

Multiple Choice

Write the expression as sums or differences of multiples of logarithms.
- $\log _ { 5 } \frac { x - 3 } { x ^ { 3 } }$

• A) \(\log _ { 5 } ( x - 3 ) - \log _ { 5 } x\)
• B) \(3 \log _ { 5 } x - \log _ { 5 } ( x - 3 )\)
• C) \(\log _ { 5 } ( x - 3 ) + 3 \log _ { 5 } x\)
• D) \(\log _ { 5 } ( x - 3 ) - 3 \log _ { 5 } x\)

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Definitions:

Investment

Allocating resources, such as capital or time, with the expectation of generating an income or profit.

Interest

The cost of borrowing money, typically expressed as a percentage of the amount borrowed, or the income earned from deposited funds.

Interest Rate

The proportion, in percentage, charged on the total amount borrowed or earned on the deposited amount over a specific time period.

Borrowed

Something obtained or received temporarily with the intention of returning it or its equivalent value.