Search Header Logo
Tutorial-How to solve a logarithmic equation with an extraneous solution ex20, 4 log3(2) -2log3(x)=1

Tutorial-How to solve a logarithmic equation with an extraneous solution ex20, 4 log3(2) -2log3(x)=1

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial demonstrates how to solve a logarithmic equation by condensing multiple logarithms into a single one, rewriting them as exponents, and solving for the variable. The process involves identifying extraneous solutions and understanding the properties of logarithms and exponents. The tutorial emphasizes the importance of condensing logarithms to simplify the equation and solve for the variable effectively.

Read more

5 questions

Show all answers

1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step to condense the logarithmic equation given in the text?

Evaluate responses using AI:

OFF

2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to rewrite the logarithmic equation when you have a logarithm subtracted by another logarithm with the same base.

Evaluate responses using AI:

OFF

3.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the equation log base 3 of (16 / X^2) = 1 imply when rewritten in exponential form?

Evaluate responses using AI:

OFF

4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine which solutions are extraneous when solving logarithmic equations?

Evaluate responses using AI:

OFF

5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final solution for X in the given logarithmic equation, and how do you arrive at it?

Evaluate responses using AI:

OFF

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?