Powers: Solving Exponential Equations with Multiple Bases and Variables

The video tutorial explains how to solve a math problem involving indices. It begins by converting all numbers to the same base, specifically base 2, to simplify the expression. The tutorial then demonstrates how to use the laws of indices to combine and simplify terms, ultimately solving for the variable x. The solution is broken down into steps, with explanations of how marks are awarded for each part of the process. Key points include converting numbers to the same base, using the laws of indices, and solving algebraic equations.

What algebraic operation is used to solve for x when 7 = 5x?

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What is the final answer for x in the equation derived from the problem?

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Describe the law of indices used when multiplying powers with the same base.

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