Mathematics 9709/23 — May/June 2015

Cambridge AS Level · Pure Mathematics 2 · worked solutions for every part, with the mark scheme

questions

marks

minutes

Topics Algebra · Trigonometry · Differentiation · Integration · Logarithmic and Exponential Functions · Numerical Solution of Equations

Q1Logarithmic and Exponential FunctionsFree sample

(i)

Use logarithms to solve the equation $2^x = 20^5$ , giving the answer correct to 3 significant figures.

(ii)

Hence determine the number of integers $n$ satisfying

20^{-5} < 2^n < 20^5

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