Solving a natural logarithmic equation using quadratic formula

Solving a natural logarithmic equation using quadratic formula

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers solving rational and quadratic equations, focusing on rewriting equations and using the quadratic formula. It discusses extraneous solutions, emphasizing the importance of checking solutions in the context of logarithmic functions. The tutorial also explores graphical interpretations of logarithmic graphs, highlighting how shifts affect solutions. The session concludes with a recap of key points.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step in solving the equation X + 1 / (X - 2) = Ln(X)?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of eliminating the rational equation in the given problem.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the quadratic equation derived from the original problem and its implications.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean for a solution to be extraneous in the context of logarithmic equations?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the potential values of X based on the calculations provided, and how do they relate to the original equation?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine if a solution is extraneous when plugging it back into the original equation?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the logarithmic graph in determining the number of solutions?

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