Use the Properties of Logarithms to Rewrite the Expression $\log _ { 4 } ( 7 x + 11 y )$

question 203

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers.
- $\log _ { 4 } ( 7 x + 11 y )$

• A) \(\log _ { 4 } 7 \mathrm { x } + \log _ { 4 } 11 \mathrm { y }\)
• B) \(\left( \log _ { 4 } 7 x \right) \left( \log _ { 4 } 11 y \right)\)
• C) \(\log _ { 4 } ( 7 x + 11 y )\)
• D) \(\log _ { 4 } 77 x y\)

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Definitions:

Face Value

The nominal or dollar value printed on a security or instrument, such as a bond or currency note.

Contract Rate

The agreed-upon rate specified in a contract for performing services or supplying goods.

Bond Indenture

A contract that spells out the provisions of the contract between the corporation and bondholder.

Interest Rate

The percentage at which interest is paid by a borrower for the use of money, or the amount a lender charges for the borrowing of money.