Solving logarithmic equations

Solving logarithmic equations

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to convert a logarithmic equation into exponential form to simplify solving it. The process involves rewriting the equation, using logarithms, and applying inverse operations to find the solution. The example given is solving for X in the equation 3^2 = 2X - 1, which is converted to exponential form and solved step-by-step, resulting in X = 5.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in converting a logarithmic equation to exponential form?

Identify the base and exponent

Subtract the exponent from the base

Add 1 to both sides

Multiply both sides by 2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation 3^2 = 2X - 1, what is the value of 3^2?

15

12

9

6

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is used to isolate X in the equation 9 = 2X - 1?

Multiplication

Division

Subtraction

Addition

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After isolating X, what is the final value of X in the equation 9 = 2X - 1?

5

3

6

4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main benefit of converting a logarithmic equation to exponential form?

It changes the base of the equation

It simplifies the equation

It eliminates the need for variables

It makes the equation more complex