Using one to one property with different bases to solve an exponential equation

The video tutorial covers solving a logarithmic equation by rewriting it to have the same base. Initially, the problem is introduced, and a common approach using logarithms is discussed. However, the instructor explains why this approach doesn't work and demonstrates how to rewrite the equation with the same base using the power rule of exponents. The solution is then derived by equating the exponents, leading to the final answer.

What is the equation presented in the example involving logarithms?

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Explain the process of rewriting the number 27 as a base of 3.

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What rule is applied to the exponents in the equation discussed?

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How can you determine that the exponents are equal in the given logarithmic equation?

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What is the final value of X as concluded in the discussion?

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