SOLUTION: An exponetional function of the form f(x)=a times 2 to the x power passes through the point (3, 24 ) What is the function ?

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: An exponetional function of the form f(x)=a times 2 to the x power passes through the point (3, 24 ) What is the function ?      Log On


   

Question 393198: An exponetional function of the form f(x)=a times 2 to the x power passes through the point (3, 24 ) What is the function ?
Found 2 solutions by ewatrrr, solver91311:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

f(x)= a(2^x)   |passes thru ordered pair Pt(3,24)

substituting these values for x and f(x)

24 = a*2^3

24/8 = a

  3 = a

f%28x%29+=+3%2A2%5Ex

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If a function contains a point then

Given



And the point , we know that



But since we know that we can write:



Just solve for

John

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