Write the Expression as a Single Logarithm with a Coefficient $- 3 \log _ { 10 } \left( \frac { x } { y } \right)$

question 12

Multiple Choice

Write the expression as a single logarithm with a coefficient of 1. 2log ₁₀ x - 5log ₁₀ y

• A) \(- 3 \log _ { 10 } \left( \frac { x } { y } \right)\)
• B) \(\log _ { 10 } ( 2 x - 5 y )\)
• C) \(\log _ { 10 } \left( x ^ { 2 } - y ^ { 5 } \right)\)
• D) \(\log _ { 10 } \frac { x ^ { 2 } } { y ^ { 5 } }\)
• E) \(\log _ { 10 } \frac { 2 x } { 5 y }\)

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Definitions:

Expected Rate

The return that an investor anticipates or forecasts receiving on an investment over a set period.

Correlation Coefficient

A statistical measure ranging from -1 to 1 that indicates the strength and direction of a linear relationship between two variables.

Covariance

A measure that demonstrates how two random variables move together, indicating the direction of their linear relationship.

Standard Deviation

A statistic that measures the dispersion or variability of a dataset relative to its mean, commonly used to quantify the risk associated with a security or investment portfolio.