Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 6

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.
- $\log _ { b } \frac { x y ^ { 3 } } { z ^ { 6 } }$

• A) \(\log _ { b } x + \log _ { b } y ^ { 3 } - \log _ { b } z ^ { 6 }\)
• B) \(\log _ { b } x + 3 \log _ { b } y + 6 \log _ { b } z\)
• C) \(\log _ { b } x + \log _ { b } \mathrm { y } ^ { 3 } + \log _ { \mathrm { b } } \mathrm { z } ^ { 6 }\)
• D) \(\log _ { \mathrm { b } } \mathrm { x } + 3 \log _ { \mathrm { b } } \mathrm { y } - 6 \log _ { \mathrm { b } } \mathrm { z }\)

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Definitions:

Generations

Groups of individuals, born and living at about the same time, who experience similar societal events and cultural shifts that can influence their values and behaviors.

Socio-emotional Selectivity Theory

A theory that explains how individuals prioritize their social contacts based on their perceived remaining time in life, focusing more on emotionally satisfying relationships as they age.

Worldview

The comprehensive perspective from which individuals view and interpret the world and their place in it.

Well-being

The state of being comfortable, healthy, or happy, encompassing physical, emotional, and psychological wellness.