Write the Expression as Sums or Differences of Multiples of Logarithms

question 168

Multiple Choice

Write the expression as sums or differences of multiples of logarithms.
- $\log _ { 7 } x ^ { 3 } y ^ { 5 }$

• A) \(8 + \log _ { 7 } x + \log _ { 3 } y\)
• B) \(3 \log _ { 7 } x + 5 \log _ { 7 } y\)
• C) \(15 \log _ { 7 } x + \log _ { 7 } y\)
• D) \(3 \log _ { 7 } x - 5 \log _ { 7 } y\)

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Definitions:

Maximize Benefits

The process of optimizing outcomes or advantages from a given set of resources or actions.

Compounded Annually

Interest that is calculated and added to the principal once every year.

Compounded Quarterly

A compound interest calculation where the frequency of compounding is every three months, affecting the overall growth of an investment or debt.

Periodic Interest Rate

The rate of interest earned in one compounding period.