Learn how to solve a natural logarithmic equation by using inverse operations

Learn how to solve a natural logarithmic equation by using inverse operations

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve the equation 5 + 2 Ln of X = 4 by isolating Ln of X, converting it to exponential form, and using a calculator to find the value of X. The process involves subtracting and dividing to isolate Ln of X, rewriting the equation in exponential form, and using a scientific calculator to compute the final value.

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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 logarithmic term in the equation 5 + 2 Ln(X) = 4?

Divide both sides by 2

Multiply both sides by 2

Subtract 5 from both sides

Add 5 to both sides

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After isolating Ln(X), what is the next step to solve for X?

Add 1/2 to both sides

Convert to exponential form

Multiply by 2

Square both sides

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the base of the natural logarithm used in the conversion to exponential form?

π

e

2

10

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the approximate value of e^(-1/2) as calculated using a scientific calculator?

0.5000

0.6065

0.7071

0.6931

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which calculator function is used to find the value of e raised to a power?

Trigonometric function

Exponential function

Square root function

Logarithm function