Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 29

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log _ { b } \left( \frac { x y ^ { 5 } } { z ^ { 4 } } \right)$

• A) \(\log _ { \mathrm { b } } \mathrm { x } + 5 \log _ { \mathrm { b } } \mathrm { y } - 4 \log _ { \mathrm { b } } z\)
• B) \(\log _ { b } x + \log _ { b } y ^ { 5 } - \log _ { b } z ^ { 4 }\)
• C) \(\log _ { b } x + 5 \log _ { b } y + 4 \log _ { b } z\)
• D) \(\log _ { \mathrm { b } } \mathrm { x } + \log _ { \mathrm { b } } \mathrm { y } ^ { 5 } + \log _ { \mathrm { b } } \mathrm { z } ^ { 4 }\)

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Definitions:

Probability

A measure of the likelihood that a particular event will occur, often expressed as a number between 0 and 1.

Poisson Distribution

A probability distribution that measures the likelihood of a given number of events happening in a fixed interval of time or space.

Burglaries

Illegal entry into a building or other premises with the intent to commit theft, vandalism, or another crime.

Poisson Distribution

A statistical distribution that predicts the probability of a given number of events occurring in a fixed interval of time or space.