Understanding Logarithmic and Exponential Equations

Understanding Logarithmic and Exponential Equations

Assessment

Interactive Video

Mathematics

7th - 10th Grade

Practice Problem

Medium

CCSS
HSF.BF.B.5, 8.EE.A.1

Standards-aligned

Created by

Sophia Harris

Used 1+ times

FREE Resource

Standards-aligned

CCSS.HSF.BF.B.5
,
CCSS.8.EE.A.1
The video tutorial explains how to convert logarithmic equations into exponential equations by understanding their equivalence. It covers the components of both forms, such as base, exponent, and number, and provides examples to illustrate the conversion process. The tutorial also discusses alternative notations for expressing logarithms.

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main goal when converting a logarithmic equation to an exponential equation?

To show the equivalence between the two forms

To express the equation in terms of multiplication

To find the base of the logarithm

To simplify the equation

Tags

CCSS.HSF.BF.B.5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In both logarithmic and exponential forms, what does the base represent?

The number being raised to a power

The logarithm

The result of the equation

The exponent

Tags

CCSS.HSF.BF.B.5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you verify the conversion of 'log base 3 of 81 equals 4' to exponential form?

By dividing 81 by 3 to get 4

By multiplying 3 by 4 to get 81

By adding 3 and 4 to get 81

By checking if 3 raised to the power of 4 equals 81

Tags

CCSS.HSF.BF.B.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the exponential form of 'log base 2 of 64 equals 6'?

2 raised to the power of 64 equals 6

64 raised to the power of 2 equals 6

6 raised to the power of 2 equals 64

2 raised to the power of 6 equals 64

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does raising a number to the 1/2 power represent?

Squaring the number

Halving the number

Taking the square root of the number

Doubling the number

Tags

CCSS.HSF.BF.B.5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the exponential form of 'log base 81 of 9 equals 1/2'?

81 raised to the power of 1/2 equals 9

9 raised to the power of 81 equals 1/2

1/2 raised to the power of 81 equals 9

81 raised to the power of 9 equals 1/2

Tags

CCSS.HSF.BF.B.5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the exponential form of 'log base 5 of 1/25 equals -2'?

1/25 raised to the power of 5 equals -2

5 raised to the power of -2 equals 1/25

5 raised to the power of 1/25 equals -2

25 raised to the power of -2 equals 5

Tags

CCSS.8.EE.A.1

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