Solving Exponential equations

Solving Exponential equations

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve an exponential equation. It starts with setting up the equation by isolating the exponential term. The instructor then demonstrates solving the equation using logarithms, specifically the natural logarithm, to find the value of the variable. The process is shown to be straightforward, and the final result is calculated to be approximately 3.37. The tutorial concludes with a summary of the steps taken to solve the equation.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in isolating the exponential term in the equation X - 9?

Divide both sides by 9

Add 9 to both sides

Subtract 9 from both sides

Multiply both sides by 9

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After isolating the exponential term, what equation do we get?

X = 29

E to the X = 29

X = 9

E to the X = 9

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which mathematical operation is used to solve the equation E to the X = 29 using one-to-one properties?

Taking the exponential

Taking the square root

Taking the reciprocal

Taking the natural logarithm

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the alternative method mentioned for solving the equation E to the X = 29?

Using trigonometric identities

Applying quadratic formula

Converting to exponential form

Using logarithmic properties

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

2.71

3.14

4.00

3.37