Logarithmic Functions and Properties

Logarithmic Functions and Properties

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to solve equations involving exponents with different bases using logarithms. It introduces the concept of taking the logarithm of both sides of an equation and discusses the importance of choosing the correct log base. The tutorial also covers the change of base formula and demonstrates how to use calculators to compute logarithms, emphasizing the use of base 10 for calculations. The video concludes with a practical example of solving an equation using these methods.

Read more

8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main issue with the equation 3^x = 5?

The bases are the same.

The bases are different and cannot be rewritten to be the same.

The equation is already solved.

The equation has no solution.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can't we use the one-to-one property to solve 3^x = 5?

Because the bases are the same.

Because the bases are different.

Because the equation is linear.

Because the equation is quadratic.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What property of logarithms is used to solve the equation 3^x = 5?

Taking the log of both sides.

The quotient rule.

The power rule.

The product rule.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why do we choose log base 3 when solving 3^x = 5?

Because it is the only base available.

Because it simplifies the equation.

Because it is easier to calculate.

Because it matches the base of the exponent.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of log base 3 of 3 raised to the x?

x

3x

log base 3 of 5

5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the change of base formula used for?

To find the derivative of a function.

To solve quadratic equations.

To convert logarithms to base 10.

To integrate a function.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you apply the change of base formula to solve log base 3 of 5?

log(3) * log(5)

log(5) / log(3)

log(5) * log(3)

log(3) / log(5)

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?