CAIE A-Level Mathematics A2 3.2.3 Log Equations Questions

Practise solving index equations by substitution, logarithms and equivalent exponential forms.

Exam points

rearrange index equations into a solvable form
solve exponential equations using logarithms
check solutions and report required numerical accuracy

[Maximum number: 4]

Solve the equation $4^{x-2}=4^{x}-4^{2}$ , giving your answer correct to 3 decimal places.

Use laws of indices correctly and solve for $4^{x}$
Obtain correct solution in any form, e.g. $4^{x}=\frac{256}{15}$
Use a correct method for solving an equation of the form $4^{x}=a$ , where
a>0
Obtain answer 2.047

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CAIE A-Level Mathematics A2 3.2.3 Log Equations Questions question 1