Chapter overview
This chapter brings the imported IGCSE Mathematics test lessons into one organized textbook chapter.
Chapter 1: Indices, Surds and Logarithms
Integral exponents, rational exponents, radicals and surds, exponential equations, logarithms, change of base, and exam style problems.
Lessons
Sections in this chapter
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1.2 Rational Exponents
Simplify and eliminate negative exponents. Assume that all letters denote positive numbers.
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1.7 Properties of Logarithms
If (p=log _b 2, q=log _b 3) and (r=log _b 5), write (log _b frac{5 sqrt{3}}{2}) in terms of (p, q) and (r).
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1.8 Change of Base
Use the rule (log _b a=frac{log _{10} a}{log _{10} b}) to evaluate these correct to (3 mathrm{sf}).
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1.9 Exam Style Problems
Given that (displaystyle log _{a} x=frac{log _{b} x}{log _{b} a}) show that (displaystyle log _{a} b=frac{1}{log _{b} a}).