To determine: C and a so that f(x)=Ca^{x} satisfies given conditions.

Tazmin Horton 2021-09-24 Answered
To determine: C and a so that f(x)=Cax satisfies given conditions.
Given: f(0)=3;f(3)=24
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Expert Answer

StrycharzT
Answered 2021-09-25 Author has 102 answers
Formula used:
If bx=ax with a,b>0 then b=a.
Calculation:
Consider the given function f(x)=Cax. Substituting x=0 we get
This gives, C=3.
Substituting x=3f(x)=3ax we get
f(3)=24=3a3
a3=243
a3=8=23
This gives a=3.
Conclusion:
From the given conditions we find f(x)=3(2x)
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