TheIB Math AA | Year 1 (Junior) · Exponents and Logarithms · part 1/7
Exponent Laws & What a Logarithm Is
IB Math AA 1.5 (Mathematics: Analysis and Approaches), exponents and logarithms: the laws of exponents and what a logarithm is (part 1 of 7, for SL and HL). The laws of exponents, what a logarithm is, and the two bases on your calculator: 10 and e. Includes a six mark Paper 1 style question solved step by step.
In this lesson
- 0:00 Intro
- 0:17 Exam question
- 0:35 Warm-up
- 1:03 Laws of exponents
- 2:14 A logarithm is an exponent
- 3:14 Base 10 and base e
- 4:08 Practice: change the form
- 5:17 What earns the mark
- 5:57 Exam question solved
- 6:55 Recap
Answers to the practice questions at the end of the video
- (3x²y)³ = 27x⁶y³ [1]; 27x⁶y³ ÷ 9x⁴y⁻² = 3x²y⁵ [1].
- log₆ 1 = 0 and log 10 000 = 4 [1]; the sum is 4 [1].
- x = ln 12 [1] = 2.48 [1].
Questions are original, in the style of the exam; marks are estimates.
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