TheIB Math AA | Year 1 (Junior) · Exponents and Logarithms · part 2/7
3 Log Laws in 8 Minutes (7-Mark Paper 1)
What a fractional exponent means, and the three laws of logarithms: product, quotient and power. Includes a seven mark Paper 1 style question solved step by step, without a calculator. Part 2 of 7, for IB Mathematics: Analysis and Approaches, SL and HL.
In this lesson
- 0:00 The question
- 0:17 Warm-up
- 0:53 Fractional exponents
- 1:52 Product and quotient laws
- 3:04 Power law
- 3:58 Practice: simplify logs
- 5:20 What earns the mark
- 6:04 Exam question solved
- 6:54 Recap
- 7:23 Next Monday
Answers to the practice questions at the end of the video
- 32^(1/5) = 2 [1]; 2^(−3) = 1/8 [1].
- log₄ (2 × 32) = log₄ 64 [1] = 3 [1].
- logₐ 25 + logₐ a = 2 logₐ 5 + 1 [1] = 2p + 1 [1].
Questions are original, in the style of the exam; marks are estimates.
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