SOLUTION: SOLUTION: Write a power Function of the form y=ab^x whose graph passes through the given points: (2,4) (3,7)
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Question 849269: SOLUTION: Write a power Function of the form y=ab^x whose graph passes through the given points: (2,4) (3,7)
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
This may be a misunderstanding for the way in which you want the solution; but take logarithms of both sides:
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Next, choose the base you want for those logarithms, either e or 10, or whatever you best want; and use the points given, to make two linear equations.
SYSTEM:
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Solving this system first eliminating log(a), you find .
Continuing using substitution you find
Like I said, you need to choose a base for these logarithms, and get values for log(b) and log(a), and then find antilogs of them.
Base 10 logarithms gives these:
log(b)=0.243038, b=1.75.
log(a)=0.12422, a=1.3311
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Equation:
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