Evaluate logarithms with the change-of-base formula

Question 1

Without a calculator, log₅ 115 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 60 to 3 decimal places.

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Question 3

Without a calculator, log₃ 257 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 log₇ 68 to 3 decimal places.

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Question 5

Without a calculator, log₃ 95 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 log₅ 114 to 3 decimal places.

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Question 7

Without a calculator, log₅ 207 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 log₇ 76 to 3 decimal places.

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Question 9

Without a calculator, log₃ 39 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 log₇ 59 to 3 decimal places.

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Question 11

Without a calculator, log₅ 208 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 log₆ 96 to 3 decimal places.

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Question 13

Without a calculator, log₅ 226 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 log₃ 14 to 3 decimal places.

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Question 15

Without a calculator, log₂ 77 lies between two consecutive whole numbers. What is the smaller one?

Answer 

Question 16

Use the change-of-base formula to evaluate log₃ 179 to 3 decimal places.

Answer