Use the Laws of Logarithms to Rewrite the Expression $\log _ { 4 } \left( \frac { x ^ { 4 } } { 4 } \right)$

question 11

Essay

Use the Laws of Logarithms to rewrite the expression $\log _ { 4 } \left( \frac { x ^ { 4 } } { 4 } \right)$ in a form with no logarithm of a product, quotient, root, or powers.  

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Definitions:

Role Congruity Theory

Prejudice against female leaders is the result of an incongruity between the perceived characteristics of women and the perceived requirements of leadership roles.

Leader Categorization Theory

A leadership theory suggesting that people have preconceived notions of what makes a good leader and assess leadership ability by how well someone fits these molds.

Implicit Leadership Theory

A theory that suggests individuals have preconceived notions about what leadership traits and behaviors constitute an effective leader, influencing how they evaluate and respond to leadership.

Adaptive Response

A biological or behavioral adjustment that improves an organism's ability to survive and reproduce.