Use the Properties of Logarithms to Condense $6 \log _ { 10 } ( x + y ) + 4 \log _ { 10 } w$

question 45

Multiple Choice

Use the properties of logarithms to condense $6 \log _ { 10 } ( x + y ) + 4 \log _ { 10 } w$ .

• A) \(\log _ { 10 } x ^ { 6 } y ^ { 6 } w ^ { 4 }\)
• B) \(\log _ { 10 } \left( x ^ { 6 } + y ^ { 6 } \right) w ^ { 4 }\)
• C) \(\log _ { 10 } ( 6 ( x + y ) + 4 w )\)
• D) \(\log _ { 10 } 24 ( x + y ) w\)
• E) \(\log _ { 10 } ( x + y ) ^ { 6 } w ^ { 4 }\)

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Definitions:

Liquidity Premium

An additional return that investors demand for holding securities that are not easily convertible into cash without a significant loss in value.

Holding-Period Return

The total return received from holding an asset or portfolio of assets over a specified time period, often measured as a percentage.

Market Interest Rates

The prevailing rate at which borrowers are willing to borrow and lenders are willing to lend in the financial market.

Annual Coupon

The annual interest payment made by a bond issuer to the bondholders, usually fixed at issuance.