Applying the equality of logarithms to solve an equation, log3 (3x + 8) = log3 (x^2 + x)

Applying the equality of logarithms to solve an equation, log3 (3x + 8) = log3 (x^2 + x)

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve a logarithmic equation using the equality property of logarithms. It then transitions into solving a quadratic equation derived from the logarithmic equation by setting it to zero. The instructor demonstrates solving the quadratic equation through factoring, applying the zero product property to find the solutions. The tutorial concludes with a review of the key points and methods used, emphasizing the importance of setting equations to zero and choosing the appropriate solving method.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the zero product property and how it applies to the equation obtained.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final solution for X in the quadratic equation derived from the logarithmic expressions?

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