Exercises for Question Type 6: Using logₐ(a) = 1 and logₐ(1) = 0 - IB | RevisionDojo

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Question Type 6: Using logₐ(a) = 1 and logₐ(1) = 0

Question Type 6: Using logₐ(a) = 1 and logₐ(1) = 0 Exercises

Question 1

Express $2 + \log_3(7)$ as a single logarithm.

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Question 2

Simplify $3 + \log_6(1)$ .

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Question 3

Express $1 + \log_b(a)$ as a single logarithm.

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Question 4

Simplify $3 + \log_2(5)$ as a single logarithm.

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Question 5

Evaluate $\log_9(1) + 5$ .

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Question 6

Write $4 + \log_{10}(k)$ as a single base-10 logarithm.

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Question 7

Simplify $\log_7(7) - \log_7(49)$ .

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Question 8

Write $3 - \log_7(2)$ as a single logarithm.

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Question 9

Simplify $-1 + \log_2(8)$ .

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Question 10

Express $\log_5(3) + 2$ as a single logarithm.

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Question 11

Simplify $\log_2(2) + \log_2(8)$ as a single logarithm and evaluate it.

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Question 12

Simplify $5 - \log_4(2)$ as a single logarithm.

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