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This video tutorial demonstrates how to solve equations where the unknown is a power. There are two examples given, one with the power on one term and the other with the power on two terms. To solve these equations, logarithms are used based on the definition that log base a of a number equals x, with a to the power x equaling that number. In the example provided, a is 3, x is the unknown, and n is 12, leading to the conclusion that x equals the log of 12 in base 3.
