Solving Exponential Equations: Key Concepts and Techniques

Solving Exponential Equations: Key Concepts and Techniques

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Practice Problem

Hard

CCSS
HSF-IF.C.8B, 8.EE.A.1

Standards-aligned

Created by

Jackson Turner

FREE Resource

Standards-aligned

CCSS.HSF-IF.C.8B
,
CCSS.8.EE.A.1
The video tutorial explains how to solve exponential equations by finding a common base. It covers the characteristics of exponential equations, provides step-by-step instructions for solving them, and includes multiple examples with different bases such as 5, 10, 3, 9, and 4. The tutorial emphasizes the importance of setting exponents equal when the bases are the same and checking solutions using a calculator.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What characteristic defines an exponential equation?

There is no equal sign.

The equation cannot be solved without logarithms.

The variable is in the exponent.

The equation includes a square root.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you solve an exponential equation with a common base?

By setting the exponents equal to each other.

By dividing one exponent by the other.

By multiplying the bases.

By subtracting the bases.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving exponential equations without a common base?

Multiply both sides by the base.

Find a common base for both sides.

Set the exponents equal to each other.

Use logarithms immediately.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you check if your solution for an exponential equation is correct?

By setting the exponents equal again.

By converting the base again.

By substituting the solution back into the original equation.

By graphing the equation.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you do if the exponential equations do not have the same base?

It's impossible to solve.

Guess and check different solutions.

Use a calculator to find the solution.

Convert one or both sides to have a common base.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of the table included in the tutorial?

To convert numbers into a common base.

To graph exponential functions.

To calculate the exponent without a calculator.

To find the logarithm of a number.

Tags

CCSS.HSF-IF.C.8B

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When solving exponential equations, what is the goal regarding the base numbers?

To ignore the base and focus on the exponents.

To make the base numbers equal to 1.

To convert larger base numbers into smaller ones.

To always use base 10 for simplicity.

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?