Practice Power Rule (3.3) - 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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3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Simplify log_4(16^2).
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What is 16 in terms of 4?
Question 2.
What is log_3(9^3)?
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How many times is 3 in 9?
3Question 3.
What does the Power Rule state?
- log_a(m) = k * log_a(m^k)
- log_a(m^k) = k * log_a(m)
- log_a(k) = b * log_a(a)
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Focus on how exponents can be represented in logarithmic equations.
4Question 4.
True or False: log_2(8^2) simplifies to 4.
- True
- False
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What is the base of the logarithm, and how do exponents work?
Question 5.
If log_5(m^4) = 12, find the value of m.
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Use the Power Rule to break down the logarithmic relation.
Question 6.
Prove that log_10(10^n) = n for any real number n.
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Test the definition of logarithms to establish the relationship.

5 more questions in this section. Enroll free to practise them all.