What are the values of C and a in the function y=C(ax)

Question

Contains the points (1,1) and (2,3). Find the values of C and a in the function y=C(a^x )

Answer 1

The two points allow you to write two equations in two unknowns.

y = Ca^x

1 = Ca¹ = Ca ⇒C = 1/a

3 = Ca²

3 = (1/a)a² = a

a = 3

C = 1/a = 1/3

y = (1/3) (3^x)

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