Logarithm - Change of Base

Logarithm - Change of Base

10th Grade

20 Qs

quiz-placeholder

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Logarithm - Change of Base

Logarithm - Change of Base

Assessment

Quiz

Mathematics

10th Grade

Practice Problem

Easy

CCSS
HSF.BF.B.5, HSF.LE.A.4

Standards-aligned

Created by

Magdalena Djuric

Used 17+ times

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

36

2

6

5.17

Answer explanation

Media Image

Now we have log 36 with a base of 2.

We can only do logarithms with a base 10 or e on a calculator... so, we need to use the formula to change the base.

Change it to 10 and type

log (36) /log (2)

Tags

CCSS.HSF.BF.B.5

2.

DRAW QUESTION

10 mins • 1 pt

Pay attention to a and b.

New base c can be whatever you choose.

Media Image

3.

MULTIPLE SELECT QUESTION

10 mins • 5 pts

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

4.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

3.569

1.176

15

4.907

Answer explanation

Media Image

Solution

Tags

CCSS.HSF.BF.B.5

5.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

2.162

1.161

0.097

3.278

Answer explanation

Media Image

Remember the formula?

5 and 4 will move (5 in the numerator and 4 in the denominator), and you can choose a new base to be whatever you want.

e or 10 will work.

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

6.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Media Image

2.10

1.18

1.07

1

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

7.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Media Image

What is Log 3.55?

0.55

12.18

0.75

1.18

Tags

CCSS.HSF.BF.B.5

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