Solve Logarithmic Equations with Logs on Both Sides

Solve Logarithmic Equations with Logs on Both Sides

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve a logarithmic equation using the one-to-one property of logarithms. It begins by introducing the equation and the concept of the one-to-one property, which states that if two logarithms with the same base are equal, their arguments must also be equal. The tutorial then demonstrates solving the resulting linear equation using inverse operations, leading to the final solution. The video concludes by summarizing the steps and confirming the solution.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the one-to-one property of logarithms?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you determine if two logarithms with the same base are equal?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What linear equation is derived from the logarithmic equation discussed?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to use inverse operations to solve for X in the given context.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the solution for X in the equation derived from the logarithmic properties?

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