CAIE A-Level Mathematics AS 2.2.3 Log Equations Questions

Practise probability distributions within the AS mathematics syllabus.

Exam points

use vector notation and operations
solve geometric problems with vectors
interpret vector relationships

[Maximum number: 2]

Hence solve the equation $\mathrm{e}^{-12 y}-32 \mathrm{e}^{-3 y}+48=0$ , giving your answer in an exact form.

Apply logarithms and use power law for $\mathrm{e}^{-3 y}=k$ where k>0
Obtain $y=-\frac{1}{3} \ln 2, \frac{1}{3} \ln \frac{1}{2}$
Or exact equivalent
Must be simplified e.g. not lne or $\frac{6}{3}$
ISW extra solutions but A0 if undefined solutions are included.

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CAIE A-Level Mathematics AS 2.2.3 Log Equations Questions question 1