# 0360 Indices & Logs

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| By Anthony Nunan
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Anthony Nunan
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Quizzes Created: 132 | Total Attempts: 44,116
Questions: 40 | Attempts: 480

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When your answer is not a whole number, round to TWO DECIMAL PLACES.
Where it is a decimal, always start with a preceding zero ie. 0.456 NOT. 456
Where a number is exactly a whole number, you may type just the number.

• 1.

### If I raise 12 to the power of zero, what is the number it will generate?

Explanation
All numbers raised to the power of zero will give you the number 1

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• 2.

### If I want to represent the number 3 as a log to the base 10, what will the log be?

Explanation
Use your calculator, round to TWO DECIMAL PLACES as in the initial instructions

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• 3.

### If I raise 16 to the power of zero, what is the number it will generate?

Explanation
All numbers raised to the power of zero will give you the number 1

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• 4.

### If I raise 17 to the power of zero, what is the number it will generate?

Explanation
All numbers raised to the power of zero will give you the number 1

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• 5.

### If I raise 2 to the power of zero, what is the number it will generate?

Explanation
All numbers raised to the power of zero will give you the number 1

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• 6.

### If I raise 18 to the power of zero, what is the number it will generate?

Explanation
All numbers raised to the power of zero will give you the number 1

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• 7.

### If I want to represent the number 3872 as a log to the base 10, what will the log be?

Explanation
Use your calculator, round to TWO DECIMAL PLACES as in the initial instructions

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• 8.

### If I want to represent the number 1278 as a log to the base 10, what will the log be?

Explanation
Use your calculator, round to TWO DECIMAL PLACES as in the initial instructions

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• 9.

### If I want to represent the number 597 as a log to the base 10, what will the log be?

Explanation
Use your calculator, round to TWO DECIMAL PLACES as in the initial instructions

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• 10.

### If I want to represent the number 167 as a log to the base 10, what will the log be?

Explanation
Use your calculator, round to TWO DECIMAL PLACES as in the initial instructions

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• 11.

### If I want to represent the number 122 as a log to the base 10, what will the log be?

Explanation
Use your calculator, round to TWO DECIMAL PLACES as in the initial instructions

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• 12.

### If I want to represent the number 55 as a log to the base 10, what will the log be?

Explanation
Use your calculator, round to TWO DECIMAL PLACES as in the initial instructions

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• 13.

### If I want to represent the number 46 as a log to the base 10, what will the log be?

Explanation
Use your calculator, round to TWO DECIMAL PLACES as in the initial instructions

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• 14.

### If I want to represent the number 37 as a log to the base 10, what will the log be?

Explanation
Use your calculator, round to TWO DECIMAL PLACES as in the initial instructions

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• 15.

### If I want to represent the number 7 as a log to the base 10, what will the log be?

Explanation
Use your calculator, round to TWO DECIMAL PLACES as in the initial instructions

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• 16.

### If I want to represent the number 5 as a log to the base 10, what will the log be?

Explanation
Use your calculator, round to TWO DECIMAL PLACES as in the initial instructions

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• 17.

### If I want to represent the number 100000 as a log to the base 10, what will the log be?

Explanation
Any multiple of 10 written as a log is simply the number of zeros!

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• 18.

### If I want to represent the number 15387 as a log to the base 10, what will the log be?

Explanation
Use your calculator, round to TWO DECIMAL PLACES as in the initial instructions

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• 19.

### If I want to represent the number 597868 as a log to the base 10, what will the log be?

Explanation
Use your calculator, round to TWO DECIMAL PLACES as in the initial instructions

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• 20.

### If I want to represent the number 649734 as a log to the base 10, what will the log be?

Explanation
Use your calculator, round to TWO DECIMAL PLACES as in the initial instructions

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• 21.

### If I want to represent the number 10000000 as a log to the base 10, what will the log be?

Explanation
Any multiple of 10 written as a log is simply the number of zeros!

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• 22.

### If I want to represent the number 1000000 as a log to the base 10, what will the log be?

Explanation
Any multiple of 10 written as a log is simply the number of zeros!

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• 23.

### If I want to represent the number 16795 as a log to the base 10, what will the log be?

Explanation
Use your calculator, round to TWO DECIMAL PLACES as in the initial instructions

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• 24.

### If I want to represent the number 10000 as a log to the base 10, what will the log be?

Explanation
Any multiple of 10 written as a log is simply the number of zeros!

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• 25.

### If I want to represent the number 1000000000 as a log to the base 10, what will the log be?

Explanation
Any multiple of 10 written as a log is simply the number of zeros!

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• 26.

### If I want to represent the number 100000000 as a log to the base 10, what will the log be?

Explanation
Any multiple of 10 written as a log is simply the number of zeros!

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• 27.

### The log base 10 of a number is 4. What is the number?

Explanation
Any whole log is multiple of 10, starting with 0=1, 1=10, 2=100, 3=1000 etc

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• 28.

### The log base 10 of a number is 0. What is the number?

Explanation
Any whole log is multiple of 10, starting with 0=1, 1=10, 2=100, 3=1000 etc

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• 29.

### The log base 10 of a number is 8. What is the number?

Explanation
Any whole log is multiple of 10, starting with 0=1, 1=10, 2=100, 3=1000 etc

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• 30.

### The log base 10 of a number is 7. What is the number?

Explanation
Any whole log is multiple of 10, starting with 0=1, 1=10, 2=100, 3=1000 etc

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• 31.

### The log base 10 of a number is 6. What is the number?

Explanation
Any whole log is multiple of 10, starting with 0=1, 1=10, 2=100, 3=1000 etc

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• 32.

### The log base 10 of a number is 5. What is the number?

Explanation
Any whole log is multiple of 10, starting with 0=1, 1=10, 2=100, 3=1000 etc

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• 33.

### The log base 10 of a number is 0.4. What values will the actual number fall between?

• A.

0 to 5

• B.

5 to 10

• C.

10 to 50

• D.

50 to 100

• E.

100 - 500

• F.

500 - 1000

B. 5 to 10
Explanation
Because the scale is exponential, 3.2 is around the half way mark, 32 is half way between 10 and 100, 320 is half way between 100 and 1000.

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• 34.

### The log base 10 of a number is 0.39. What values will the actual number fall between?

• A.

0 to 5

• B.

5 to 10

• C.

10 to 50

• D.

50 to 100

• E.

100 - 500

• F.

500 - 1000

A. 0 to 5
Explanation
Because the scale is exponential, 3.2 is around the half way mark, 32 is half way between 10 and 100, 320 is half way between 100 and 1000.

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• 35.

### The log base 10 of a number is 2.34. What values will the actual number fall between?

• A.

0 to 5

• B.

5 to 10

• C.

10 to 50

• D.

50 to 100

• E.

100 - 500

• F.

500 - 1000

E. 100 - 500
Explanation
Because the scale is exponential, 3.2 is around the half way mark, 32 is half way between 10 and 100, 320 is half way between 100 and 1000.

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• 36.

### The log base 10 of a number is 1.39. What values will the actual number fall between?

• A.

0 to 5

• B.

5 to 10

• C.

10 to 50

• D.

50 to 100

• E.

100 - 500

• F.

500 - 1000

C. 10 to 50
Explanation
Because the scale is exponential, 3.2 is around the half way mark, 32 is half way between 10 and 100, 320 is half way between 100 and 1000.

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• 37.

### The log base 10 of a number is 2.81. What values will the actual number fall between?

• A.

0 to 5

• B.

5 to 10

• C.

10 to 50

• D.

50 to 100

• E.

100 - 500

• F.

500 - 1000

F. 500 - 1000
Explanation
Because the scale is exponential, 3.2 is around the half way mark, 32 is half way between 10 and 100, 320 is half way between 100 and 1000.

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• 38.

### The log base 10 of a number is 2.17. What values will the actual number fall between?

• A.

0 to 5

• B.

5 to 10

• C.

10 to 50

• D.

50 to 100

• E.

100 - 500

• F.

500 - 1000

E. 100 - 500
Explanation
Because the scale is exponential, 3.2 is around the half way mark, 32 is half way between 10 and 100, 320 is half way between 100 and 1000.

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• 39.

### The log base 10 of a number is 1.43. What values will the actual number fall between?

• A.

0 to 5

• B.

5 to 10

• C.

10 to 50

• D.

50 to 100

• E.

100 - 500

• F.

500 - 1000

C. 10 to 50
Explanation
Because the scale is exponential, 3.2 is around the half way mark, 32 is half way between 10 and 100, 320 is half way between 100 and 1000.

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• 40.

### The log base 10 of a number is 1.2. What values will the actual number fall between?

• A.

0 to 5

• B.

5 to 10

• C.

10 to 50

• D.

50 to 100

• E.

100 - 500

• F.

500 - 1000

C. 10 to 50
Explanation
Because the scale is exponential, 3.2 is around the half way mark, 32 is half way between 10 and 100, 320 is half way between 100 and 1000.

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• Current Version
• Mar 17, 2023
Quiz Edited by
ProProfs Editorial Team
• Nov 22, 2015
Quiz Created by
Anthony Nunan

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