May/June 2026 Paper 21

2026 · 7 questions · 15 parts · 50 marks

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1Reduction Linear FormMedium4 marks

The variables

x

and

y

satisfy the equation

3^{x + y} = 2^{4 x + 1}

. Using natural logarithms, the equation can be transformed to the form

y = m x + c

. Determine the exact values of

m

and

c

. Give each value in the form

\frac{ln p}{ln q}

m =

c =