How to solve exponential equations

How to solve exponential equations

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve exponential equations using two main methods: the one-to-one property and calculator methods involving logarithms. It begins with an introduction to exponential equations, followed by a detailed explanation of the one-to-one property, which is useful for equations with the same base. The tutorial then covers calculator methods, including taking the log of both sides and converting to logarithmic form. Finally, it discusses the change of base formula for cases where the one-to-one property cannot be applied.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of using logarithms to solve the equation 8 = 2^x.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Why can't you use the one-to-one property for certain exponential functions?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the change of base formula and when is it used?

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