Solving Logarithmic Equations Concepts

Solving Logarithmic Equations Concepts

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to solve logarithmic equations by transforming them into logarithmic form and solving for x using exponentiation. It demonstrates multiple methods to achieve the solution, emphasizing the importance of understanding mathematical properties and applying them effectively. The tutorial concludes with tips on problem-solving strategies.

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16 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary goal when dealing with a logarithmic equation?

To change the base of the logarithm

To add more logarithms

To remove the logarithm

To evaluate the logarithm

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in rewriting the given equation in logarithmic form?

Add 7 to both sides

Multiply both sides by 3

Subtract 7 from both sides

Divide both sides by 3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a correct way to simplify the equation after rewriting it in logarithmic form?

ln(x^2) = -3

ln(x) = 2

ln(x^3) = -2

ln(x) = -2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the two methods mentioned for solving the equation?

Exponentiation and division

Exponentiation and rewriting in logarithmic form

Multiplication and division

Addition and subtraction

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When exponentiating both sides of the equation, what base is used?

Base 5

Base 10

Base 2

Base e

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of exponentiating both sides of the equation with base e?

x = e^2

x = e^(-2/3)

x = e^3

x = e^(-1/2)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when you exponentiate both sides of an equation with base e?

The equation becomes more complex

The logarithm cancels out

The exponent doubles

The base changes to 10

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