Practice Laws Of Logarithms (3) - Introduction to Logarithms - IB 10 Mathematics

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9 questions

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Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Use the Product Rule: Simplify log_2(12) = log_2(3) + log_2(4).
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What number do 3 and 4 multiply to give?
Question 2.
Apply the Quotient Rule: Simplify log_10(100) - log_10(10).
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What is 100 divided by 10?
3Question 3.
What is the Product Rule for logarithms?
- log_a(mn) = log_a(m) + log_a(n)
- log_a(m/n) = log_a(m) - log_a(n)
- log_a(m^k) = k * log_a(m)
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Think about how multiplication relates to addition.
4Question 4.
True or False: The Power Rule states that log_a(m^k) = log_a(m) + k.
- True
- False
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Remember how exponents are represented in logarithms.
Question 5.
Show how log_2(32) can be expressed using the Product Rule and verify the answer.
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Think about how you can break down 32 into smaller parts.
Question 6.
If log_3(9) = 2, derive how log_3(27) can be computed using the Power Rule.
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Focus on expressing 27 in terms of powers of 3.

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