Express $\log b \left( \frac { x ^ { \frac { 1 } { 3 } } y ^ { \frac { 1 } { 6 } } } { z ^ { 9 } } \right)$

question 42

Short Answer

Express $\log b \left( \frac { x ^ { \frac { 1 } { 3 } } y ^ { \frac { 1 } { 6 } } } { z ^ { 9 } } \right)$ as the sum or difference of simpler logarithmic quantities. Assume that all variables represent positive real numbers.

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Definitions:

Standard Error

A statistical measure that quantifies the amount of variation or dispersion of a sample mean relative to the true population mean.

Sample Size

The number of observations or participants in a statistical sample.

Slope

In mathematics, it is the measure of the steepness or inclination of a line, representing the ratio of the vertical and horizontal changes between two points on the line.

Residual

The difference between an observed value and the estimated value of the quantity of interest in a statistical model.