Solving Exponential Equation with Fractional Base

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Taught by mrbrianmclogan
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Part of video series
Meets NCTM Standards:
Lesson Summary:

In this lesson, we learn how to solve exponential equations with a fractional base. The key is to get rid of the fraction and use the rule that x to the negative first equals one over x. By rewriting the equation without fractions and using the one to one property, we can solve for x with ease. Remember to avoid dealing with fractions to make the problem simpler.

Lesson Description:

Solve an exponential equation when your base is a fraction

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Questions answered by this video:
  • Solve (1/3)^x = 81