Evaluate logarithms with the change-of-base formula

Question 1

Without a calculator, log₃ 247 lies between two consecutive whole numbers. What is the smaller one?

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Question 2

Use the change-of-base formula to evaluate log₆ 195 to 3 decimal places.

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Question 3

Without a calculator, log₃ 231 lies between two consecutive whole numbers. What is the smaller one?

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Question 4

Use the change-of-base formula to evaluate log₅ 180 to 3 decimal places.

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Question 5

Without a calculator, log₂ 160 lies between two consecutive whole numbers. What is the smaller one?

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Question 6

Use the change-of-base formula to evaluate log₆ 129 to 3 decimal places.

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Question 7

Without a calculator, log₅ 269 lies between two consecutive whole numbers. What is the smaller one?

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Question 8

Use the change-of-base formula to evaluate log₅ 84 to 3 decimal places.

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Question 9

Without a calculator, log₃ 55 lies between two consecutive whole numbers. What is the smaller one?

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Question 10

Use the change-of-base formula to evaluate log₆ 100 to 3 decimal places.

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Question 11

Without a calculator, log₂ 174 lies between two consecutive whole numbers. What is the smaller one?

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Question 12

Use the change-of-base formula to evaluate log₃ 72 to 3 decimal places.

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Question 13

Without a calculator, log₅ 57 lies between two consecutive whole numbers. What is the smaller one?

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Question 14

Use the change-of-base formula to evaluate log₆ 180 to 3 decimal places.

Answer 

Question 15

Without a calculator, log₅ 68 lies between two consecutive whole numbers. What is the smaller one?

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Question 16

Use the change-of-base formula to evaluate log₆ 200 to 3 decimal places.

Answer