Skip to content

Salam Academy

Sign in Create account

LearnEdexcel9MA0First teaching 2017Paper 1 · Pure Mathematics 1Exponentials and logarithms

Paper 1 · Module

Exponentials and logarithms

5 subtopics≈ 200 min in total

Start the module: The functions eˣ and ln x Open graphing calculator

The functions eˣ and ln x
Meet $e\approx2.718$ , the most natural base for growth, and its inverse $\ln x$ : their graphs, asymptotes and intercepts, transformations, inverses and exact answers.
≈ 40 min
Laws of logarithms
What a logarithm is (the power you need), the three laws that come straight from the index laws, and how to combine and simplify logarithms, including $\ln$ and $\lg$ .
≈ 40 min
Exponential equations and inequalities
Bringing an unknown power down with logarithms: solving $a^x=b$ , equations with $x$ in two powers, disguised quadratics, and inequalities like "the smallest $n$ such that $0.8^n<0.1$ ".
≈ 40 min
Logarithmic equations
Solving equations with the unknown inside a logarithm: combine with the log laws, remove the logs by raising to a power, and always check that the answers are in the domain.
≈ 35 min
Exponential models and linear forms
Using logarithms in the real world: modelling growth and decay with $Ae^{kt}$ , and turning curves like $y=kx^n$ and $y=ka^x$ into straight lines so their constants can be read from a graph.
≈ 45 min

Edexcel 9MA0 Exponentials and logarithms — A Level Mathematics · Salam Academy