Solving an natural logarithmic equation using properties of logs

Solving an natural logarithmic equation using properties of logs

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve an equation involving logarithms by using properties of logarithms and exponentials. It demonstrates the process of eliminating the logarithm by applying the property that E to the Ln of X equals X. The tutorial then shows how to solve for X by raising both sides to the base E and using the one-to-one property. Finally, it calculates the result and approximates it to three decimal places.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the problem as described in the video?

Identify the properties needed

Directly calculate the result

Use a calculator

Approximate the answer

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which property is used to eliminate the logarithm in the equation?

Ln of E equals X

X to the power of E equals Ln

E to the Ln of X equals X

E to the power of X equals X

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equation obtained after applying the logarithmic property?

X = E squared

X = E squared minus 3

X = E squared plus 3

X = 3 minus E squared

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final result after calculating and approximating to three decimal places?

9.389

10.490

11.389

10.389

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What tool is used to approximate the final result?

A logarithm table

A calculator

A computer program

A slide rule