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LearnEdexcelYMA012018 specificationWMA12 · Pure Mathematics 2Exponentials and logarithms

WMA12 · Module

Exponentials and logarithms

3 subtopics≈ 115 min in total

Start the module: Laws of logarithms Open graphing calculator

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