Rewrite in Terms of Two or More Logarithms Using the Quotient

question 126

Multiple Choice

Rewrite in terms of two or more logarithms using the quotient and product rules for logarithms. Assume all variables
represent positive real numbers.
- $\log _ { 3 } \left( \frac { x y } { 4 } \right)$

• A) \(\left( \log _ { 3 } x \right) \left( \log _ { 3 } y \right) \div \log _ { 3 } 4\)
• B) \(\log _ { 3 } x + \log _ { 3 } y + \log _ { 3 } 4\)
• C) \(\log _ { 3 } x + \log _ { 3 } y - \log _ { 3 } 4\)
• D) \(\left( \log _ { 3 } x \right) ^ { 2 } + \left( \log _ { 3 } y \right) ^ { 2 } - \log _ { 3 } 4\)

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Definitions:

Coupon

The interest rate on a bond paid by the issuer to the bondholder, typically on a periodic basis.

Quoted

Refers to the listed price of a security or asset in the financial market.

Treasury Bond

A Treasury bond is a long-term government debt security with a maturity of more than ten years, issued by the U.S. Department of the Treasury, and is backed by the U.S. government's credit.