Solving an exponential equation

Solving an exponential equation

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve an exponential equation, E to the X - 9 = 20, by first adding 9 to both sides to get E to the X = 29. It then explores two methods: using one-to-one properties by taking the natural logarithm (Ln) of both sides, and rewriting the equation into exponential form. The tutorial emphasizes that the choice of method depends on personal preference. Finally, it calculates the natural logarithm of 29 to find that X is approximately 3.37, concluding with a summary of the process.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step to solve the equation E to the X - 9 = 20?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the one-to-one properties mentioned in the context of solving exponential equations.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What does taking the natural logarithm (Ln) of both sides of the equation accomplish?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you rewrite the equation E to the X = 29 into exponential form?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the approximate value of X when solving the equation E to the X = 29?

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