Change the Logarithmic Expression to an Equivalent Expression Involving an Exponent

question 505

Multiple Choice

Change the logarithmic expression to an equivalent expression involving an exponent.
- $$\log _ { \sqrt { 3 } } 64 = \frac { 7 } { 11 }$$

• A) \(\sqrt { 3 } ^ { 7 / 11 } = 64\)
• B) \(\left( \frac { 7 } { 11 } \right) ^ { \sqrt { 3 } } = 64\)
• C) \(64 ^ { 7 / 11 } = \sqrt { 3 }\)
• D) \(\sqrt { 3 } ^ { 11 / 7 } = 64\)

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Definitions:

Zero-Coupon Bonds

Debt securities that don't pay periodic interest but are issued at a significant discount to par value, providing profit at maturity when they reach their face value.

Coupon Rate

The annual interest rate paid by a bond's issuer to its holders, expressed as a percentage of the bond's face value.

Par Value

The face value of a bond or the stock value stated in the corporate charter, representing the minimum standard value.

Zero-Coupon Bond

A debt security that does not pay interest but is traded at a deep discount, rendering a profit at maturity when the bond is redeemed for its full face value.