Alg 2: Exponential Equations: Change base, Rewrite Exponent

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What is an exponential equation?

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How do you change the base of an exponential expression?

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To change the base, express the original base as a power of the new base, then rewrite the expression accordingly.

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The common base is 5.

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What does it mean to rewrite an exponent?

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Rewriting an exponent involves expressing it in terms of a different base or simplifying it.

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Take the logarithm of both sides or rewrite both sides with the same base.

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What is the definition of a logarithm?

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A logarithm is the inverse operation to exponentiation, answering the question: to what exponent must a base be raised to produce a given number?