Write the Logarithm as a Sum And/or Difference of Logarithms $a \neq 1$

question 32

Essay

Write the logarithm as a sum and/or difference of logarithms of a single quantity. Then simplify if possible. Assume that w , r , t and a are positive numbers, and $a \neq 1$ . $\log _ { a } \frac { \sqrt [ 5 ] { w } } { \sqrt [ 3 ] { r t } }$

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Definitions:

Structural-Functional

A framework in sociology that views society as a complex system whose parts work together to promote solidarity and stability, emphasizing the interrelations of social institutions.

Social Conflict

A form of struggle or disagreement between individuals, groups, or classes, often arising from opposing interests, needs, and values.

Social Exchange

A theory in sociology and psychology that suggests human relationships are formed by the use of a subjective cost-benefit analysis and the comparison of alternatives.

Symbolic Interaction

A sociological perspective that explores how individuals create meanings through their interactions with others, based on the use of symbols.