Write the Expression as a Single Logarithm with Coefficient 1 $a \neq 1 \text { and } b \neq 1$

question 158

Multiple Choice

Write the expression as a single logarithm with coefficient 1. Assume all variables represent positive real numbers with $a \neq 1 \text { and } b \neq 1$ .
- $$\frac { 1 } { 3 } \log _ { 3 } x ^ { 6 } + \frac { 1 } { 6 } \log _ { 3 } x ^ { 6 } - \frac { 1 } { 9 } \log _ { 3 } x$$

• A) \(\frac { 7 } { 9 } \log _ { 3 } \left( x ^ { 12 } \right)\)
• B) \(\log _ { 3 } \left( x ^ { 26 / 9 } \right)\)
• C) \(\log _ { 3 } \left( x ^ { 9 / 2 } \right)\)
• D) \(\log _ { 3 } \left( x ^ { 7 } \right)\)

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Definitions:

Data Set

A collection of related sets of information that is composed of separate elements but can be manipulated as a unit by a computer.

Residuals

The differences between observed and predicted values in a statistical model, indicating the error in predictions.

Scatterplots

Scatterplots are graphical representations showing the relationship between two quantitative variables, with data points plotted on a two-dimensional axis.

Linear Model

A mathematical model that describes a linear relationship between two or more variables.