Write Ln(r²) + Ln(r⁴) + Ln(r) as a Single Logarithm

question 22

Multiple Choice

Write ln(r²) + ln(r⁴) + ln(r) as a single logarithm. Assume r represents numbers for which the logarithms are defined.

• A) ln(r⁵)
• B) ln(r⁷)
• C) The logarithms cannot be combined.
• D) ln(r⁸)

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Definitions:

Compounded Semiannually

A method of calculating interest where the interest is added to the principal amount twice a year, leading to compound growth.

Total Amount

The complete sum or quantity, including all parts, elements, or aspects of something.

Compound Interest

Compound interest is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.

Future Value

The value of an investment or loan at a specific future date, considering interest or return earned over time.