What is one to one property and how to use it to solve exponential and logarithmic eqn

What is one to one property and how to use it to solve exponential and logarithmic eqn

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the one-to-one property for both exponents and logarithms. It begins with an introduction to the concept, followed by detailed examples of how the property applies to exponential equations. The tutorial also covers more complex cases where the bases are not initially the same and demonstrates how to manipulate equations to apply the one-to-one property. Finally, the video explains the one-to-one property for logarithms, providing examples to illustrate the concept.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the one-to-one property state regarding exponents with the same base?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you solve an equation when the bases are not the same?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of rewriting an equation to apply the one-to-one property.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of isolating the exponent when using the one-to-one property?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how the logarithmic one-to-one property works.

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What must be true for two logarithmic expressions to be set equal to each other?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

Provide an example of using the one-to-one property with logarithms.

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