Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 83

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log _ { b } \left( \frac { x y ^ { 5 } } { z ^ { 9 } } \right)$

• A) \(\log _ { \mathrm { b } } \mathrm { x } + 5 \log _ { \mathrm { b } } \mathrm { y } - 9 \log _ { \mathrm { b } } \mathrm { z }\)
• B) \(\log _ { b } x + 5 \log _ { b } y + 9 \log _ { b } z\)
• C) \(\log _ { b } \mathrm { x } + \log _ { \mathrm { b } } \mathrm { y } ^ { 5 } - \log _ { \mathrm { b } } \mathrm { z } ^ { 9 }\)
• D) \(\log _ { b } \mathrm { x } + \log _ { \mathrm { b } } \mathrm { y } ^ { 5 } + \log _ { \mathrm { b } ^ { \mathrm { z } } } 9\)

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Definitions:

Bdelloid Rotifers

Bdelloid rotifers are a group of microscopic, water-dwelling animals known for their ability to survive in extreme environments and reproduce asexually.

Genetic Diversity

The total number of genetic characteristics in the genetic makeup of a species, providing the necessary variability for populations to adapt to changing environments.

Asexual Reproduction

The reproductive process that involves only one parent and produces offspring that are genetically identical to the parent.