Use the Product, Quotient, and Power Rules of Logarithms to Rewrite

question 138

Multiple Choice

Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all
variables represent positive real numbers.
- $\frac { 2 } { 7 } \log _ { a } x + \frac { 1 } { 5 } \log _ { a } y$

• A) \(\frac { 2 } { 35 } \log _ { a } x y\)
• B) \(\log _ { a } \left( x ^ { 2 / 7 } y ^ { 1 / 5 } \right)\)
• C) \(\log _ { a } \left( y ^ { 2 / 35 } \right)\)
• D) \(\log _ { a } \left( x y ^ { 2 / 35 } \right)\)

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Definitions:

Psychodynamic Perspective

An approach in psychology that focuses on studying the psychological factors behind human behavior, emotions, and feelings, considering their connection to experiences from early life.

Reciprocal Determinism

A concept in psychology suggesting that an individual's behavior, personal factors, and the environment all influence each other in a circular relationship.

Self-serving Bias

The common human tendency to attribute positive events to one's own character but attribute negative events to external factors.

Spotlight Effect

The tendency to overestimate the extent to which our actions and appearance are noticed and evaluated by others.