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-The minimum number of weighings with a pan balance scale needed to guarantee that you find the single counterfeit coin and determine whether it is heavier or lighter than the other coins in a group of five coins is ____.


Definitions:

Variable Substitution

Replacing variables with specific values or expressions within mathematical equations to simplify or solve them.

Exponentiation

A mathematical operation involving two numbers, where one number, the base, is raised to the power of the other, the exponent.

Exponentiation

The operation of raising one number (the base) to the power of another (the exponent), a fundamental mathematical operation.

System of Equations

A set of two or more equations that share two or more unknowns.

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