Exercises for Question Type 5: Simplifying expressions to a single logarithm - IB | RevisionDojo

IB
Question Type 5: Simplifying expressions to a single logarithm

Question Type 5: Simplifying expressions to a single logarithm Exercises

Question 1

Express $\log_5(a^3) + 4\log_5(b)$ as a single logarithm.

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Question 2

Simplify $2\log_2(x) - \log_2(8)$ to a single logarithm.

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Question 3

Simplify $\log_3(7) + \log_3(5)$ to a single logarithm.

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Question 4

Express $5\log_5(x) - \log_5(x^3y)$ as a single logarithm.

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Question 5

(No specification provided)

Simplify $\ln(x) - 3\ln(y) + 2\ln(z)$ to a single logarithm.

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Question 6

Simplify $\log_4(16x) - \log_4(2y)$ to a single logarithm.

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Question 7

Simplify $\log_3(9) + \log_3(x^2) - 2\log_3(y)$ to a single logarithm.

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Question 8

Simplify $\log_2(8) + \log_2(4) - 3\log_2(x)$ to a single logarithm.

Simplify $\log_2(8) + \log_2(4) - 3\log_2(x)$ to a single logarithm.

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Question 9

Simplify $3\log_{10}(2) + \log_{10}(25)$ to a single logarithm.

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Question 10

Simplify $\log_x(y) - 4\log_x(2y)$ to a single logarithm.

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Question 11

Combine $\log_7(m) + \log_7(n) - \log_7(p)$ into a single logarithm. [2 marks]

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Question 12

Simplify $\ln(a) - \ln(b) + \ln(c)$ to a single logarithm.

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