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Math › Arithmetic › Exponents and Roots › Exponent Rules

0360 Indices & Logs

Math

7th Grade,
8th Grade,
9th Grade

CCSS.Math.Content.HSN-RN.A.2

IB Math SL

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| By Anthony Nunan

A

Anthony Nunan

Community Contributor

Quizzes Created: 132 | Total Attempts: 48,392

| Attempts: 504 | Questions: 40 | Updated: Mar 17, 2025

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Question 1 / 40

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

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

Explanation

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

Submit

About This Quiz

Exponent Rules Quizzes & Trivia

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.

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

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

Explanation

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

Submit

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

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

Explanation

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

Submit

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

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

Explanation

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

Submit

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

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

Explanation

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

Submit

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

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

Explanation

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

Submit

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

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

Explanation

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

Submit

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

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

Explanation

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

Submit

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

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

Explanation

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

Submit

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

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

Explanation

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

Submit

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

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

Explanation

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

Submit

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

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

Explanation

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

Submit

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

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

Explanation

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

Submit

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

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

Explanation

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

Submit

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

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

Explanation

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

Submit

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

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

Explanation

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

Submit

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

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

Explanation

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

Submit

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

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

Explanation

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

Submit

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

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

Explanation

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

Submit

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

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

Explanation

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

Submit

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

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

Explanation

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

Submit

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

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

Explanation

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

Submit

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

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

Explanation

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

Submit

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

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

Explanation

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

Submit

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

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

Explanation

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

Submit

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

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

Explanation

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

Submit

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

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

Explanation

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

Submit

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

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

Explanation

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

Submit

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

0 to 5

5 to 10

10 to 50

50 to 100

100 - 500

500 - 1000

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.

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.

Submit

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

0 to 5

5 to 10

10 to 50

50 to 100

100 - 500

500 - 1000

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.

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.

Submit

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

0 to 5

5 to 10

10 to 50

50 to 100

100 - 500

500 - 1000

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.

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.

Submit

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

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

Explanation

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

Submit

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

0 to 5

5 to 10

10 to 50

50 to 100

100 - 500

500 - 1000

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.

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.

Submit

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

0 to 5

5 to 10

10 to 50

50 to 100

100 - 500

500 - 1000

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.

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.

Submit

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

0 to 5

5 to 10

10 to 50

50 to 100

100 - 500

500 - 1000

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.

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.

Submit

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

0 to 5

5 to 10

10 to 50

50 to 100

100 - 500

500 - 1000

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.

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.

Submit

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

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

Explanation

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

Submit

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

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

Explanation

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

Submit

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

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

Explanation

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

Submit

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

0 to 5

5 to 10

10 to 50

50 to 100

100 - 500

500 - 1000

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.

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.

Submit

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