Understanding Exponential and Logarithmic Equations

Understanding Exponential and Logarithmic Equations

Assessment

Interactive Video

Mathematics

7th - 10th Grade

Practice Problem

Hard

CCSS
HSF.BF.B.5

Standards-aligned

Created by

Sophia Harris

FREE Resource

Standards-aligned

CCSS.HSF.BF.B.5
The video tutorial explains how to convert exponential equations into logarithmic form. It begins by establishing the equivalence between exponential and logarithmic equations, using the formula log base B of N equals A, which means B raised to the power of A equals N. The tutorial then provides examples, such as converting 10^3 = 1000 and 10^-2 = 100 into logarithmic form, emphasizing the concept of common logs where the base 10 is omitted.

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8 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the equation log base b of n = a imply in terms of exponential form?

a raised to the power of b equals n

n raised to the power of b equals a

b raised to the power of n equals a

b raised to the power of a equals n

Tags

CCSS.HSF.BF.B.5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation 10^3 = 1,000, what is the base in the corresponding logarithmic form?

10

3

None of the above

1,000

Tags

CCSS.HSF.BF.B.5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the exponent in the logarithmic form of the equation 10^3 = 1,000?

None of the above

10

3

1,000

Tags

CCSS.HSF.BF.B.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When converting 10^3 = 1,000 to logarithmic form, what is the number?

1,000

10

None of the above

3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a common logarithm?

A logarithm with base 1

A logarithm with base 2

A logarithm with base 10

A logarithm with base e

Tags

CCSS.HSF.BF.B.5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation 10^-2 = 100, what is the exponent in the logarithmic form?

-2

None of the above

10

100

Tags

CCSS.HSF.BF.B.5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the number in the logarithmic form of the equation 10^-2 = 100?

None of the above

-2

100

10

Tags

CCSS.HSF.BF.B.5

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