Approximate the Logarithm to Four Decimal Places Using the Change $\log _ { 1 / 5 } 2$

question 142

Multiple Choice

Approximate the logarithm to four decimal places using the change of base formula.
- $\log _ { 1 / 5 } 2$

• A) \(- 2.3219\)
• B) \(- 0.3979\)
• C) \(1.0000\)
• D) \(- 0.4307\)

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Definitions:

Transitive

In logic and mathematics, a relation is transitive if it holds that whenever relation A relates to B, and B relates to C, then A must relate to C.

Unbalanced

Lacking equilibrium or stability in terms of emotional state, workload, resource distribution, or other areas affecting individuals or groups.

Balance Theory

A psychological theory suggesting that individuals strive for consistency among their beliefs, attitudes, and sentiments in interpersonal relationships.

Heider

Refers to Fritz Heider, an Austrian psychologist known for his contributions to attribution theory and balance theory within social psychology.