Exponential Equations and Properties

Exponential Equations and Properties

Assessment

Interactive Video

Mathematics

8th - 10th Grade

Hard

Created by

Sophia Harris

FREE Resource

The video tutorial explains how to solve exponential equations using properties of exponents, focusing on solving for x with like bases, which avoids the use of logarithms. It covers two examples: the first involves simple like bases, while the second is more complex due to fractions. The tutorial provides a step-by-step approach to equating exponents when bases are the same, demonstrating the process of solving for x in each case.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main method used to solve the exponential equations in the video?

Using logarithms

Using like bases

Using quadratic equations

Using substitution

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a^m = a^n, what can be concluded about m and n?

m is equal to n

m is less than n

m is not related to n

m is greater than n

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the first example, what is the base of the exponential equation?

10

5

3

2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of x in the equation 2^(x-3) = 2^(5x+11)?

-14

7/2

14

-7/2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What makes the second example more challenging than the first?

It involves a quadratic equation

It involves a fraction

It involves a complex number

It involves a logarithm

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the fraction 1/3 rewritten to have a base of 3?

3^1

3^0

3^-1

3^2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is performed when a power is raised to another power?

Division of exponents

Addition of exponents

Subtraction of exponents

Multiplication of exponents

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