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GH
Numerade Educator

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Problem 2 Easy Difficulty

When does an extraneous solution occur? How can an extraneous solution be recognized?

Answer

To avoid this, the equation of the logarithm must be positive. If the equation of the logarithm is negative, then there is no solution.

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Anna Marie V.

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Video Transcript

So I'm gonna be talking about extreme your solutions with the concentration, all logarithms. So the important thing to remember is that Jay Solutions is our basically after cleaning all your algebraic steps. But the solution still doesn't seem to satisfied original equation. So reminding us about logarithms. So here's the graphical law gorilla. It was just a click apparent function log of X more than two hours that their domain is restricted and that accent only positive. And it's not gonna be in this region where X is negative. So same thing happens when the input of log of X here is negative. We getting extreme your solution. So to avoid this, always make sure that your input is positive.

Top Algebra Educators
Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Alayna H.

McMaster University

Michael J.

Idaho State University