0360 Indices & Logs
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 1Rate this question:
- 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 instructionsRate this question:
- 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 1Rate this question:
- 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 1Rate this question:
- 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 1Rate this question:
- 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 1Rate this question:
- 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 instructionsRate this question:
- 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 instructionsRate this question:
- 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 instructionsRate this question:
- 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 instructionsRate this question:
- 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 instructionsRate this question:
- 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 instructionsRate this question:
- 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 instructionsRate this question:
- 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 instructionsRate this question:
- 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 instructionsRate this question:
- 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 instructionsRate this question:
- 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!Rate this question:
- 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 instructionsRate this question:
- 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 instructionsRate this question:
- 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 instructionsRate this question:
- 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!Rate this question:
- 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!Rate this question:
- 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 instructionsRate this question:
- 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!Rate this question:
- 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!Rate this question:
- 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!Rate this question:
- 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 etcRate this question:
- 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 etcRate this question:
- 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 etcRate this question:
- 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 etcRate this question:
- 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 etcRate this question:
- 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 etcRate this question:
- 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
Correct Answer
B. 5 to 10Explanation
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.Rate this question:
-
- 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
Correct Answer
A. 0 to 5Explanation
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.Rate this question:
-
- 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
Correct Answer
E. 100 - 500Explanation
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.Rate this question:
-
- 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
Correct Answer
C. 10 to 50Explanation
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.Rate this question:
-
- 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
Correct Answer
F. 500 - 1000Explanation
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.Rate this question:
-
- 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
Correct Answer
E. 100 - 500Explanation
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.Rate this question:
-
- 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
Correct Answer
C. 10 to 50Explanation
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.Rate this question:
-
- 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
Correct Answer
C. 10 to 50Explanation
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.Rate this question:
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Current Version
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Mar 17, 2023Quiz Edited by
ProProfs Editorial Team -
Nov 22, 2015Quiz Created by
Anthony Nunan