Use the Laws of Logarithms to Rewrite the Expression $\ln \left( \frac { x ^ { 3 } } { y ^ { 3 } \sqrt [ 3 ] { z } } \right)$

question 79

Essay

Use the Laws of Logarithms to rewrite the expression $\ln \left( \frac { x ^ { 3 } } { y ^ { 3 } \sqrt [ 3 ] { z } } \right)$ in a form with no logarithm of a product, quotient, root, or powers.  

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Definitions:

Price-Earnings Ratios

A metric used to value a company by comparing its current share price to its per-share earnings.

Bell Shaped Distribution

A type of distribution, commonly known as a normal distribution, characterized by its symmetrical, bell-shaped curve where most occurrences take place around the mean.

Standard Deviation

A measure of the dispersion or spread of a set of values, showing how much variation there is from the average (mean).

Range

The difference between the largest and smallest values in a set of data.