Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 114

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log _ { b } \left( y z ^ { 8 } \right)$

• A) \(\log _ { b } y + 8 \log _ { b } z\)
• B) \(8 \log _ { b } y + 8 \log _ { b } z\)
• C) \(8 \log _ { \mathrm { b } } \mathrm { yz }\)
• D) \(\log _ { b } y + \log _ { b } 8 z\)

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Definitions:

Desired Rate of Return

The minimum expected yield by investors for their investment, reflecting the risk level and opportunity cost.

Initial Investment

The amount of money put into a project or investment at the beginning, before any returns are realized.

Inflation

A period when prices in general are rising and the purchasing power of money is declining.

Time Value of Money

The concept that money available at the present time is worth more than the same amount in the future due to its potential earning capacity.