SOLUTION: Find an equation of the form y=ab^x whose graph contains the given points. Round approximate values of a and b to two decimal places: A) (0,5) and (4,83) B) (3,95) and (8,2

Algebra ->  Exponents -> SOLUTION: Find an equation of the form y=ab^x whose graph contains the given points. Round approximate values of a and b to two decimal places: A) (0,5) and (4,83) B) (3,95) and (8,2      Log On


   

Question 974294: Find an equation of the form y=ab^x whose graph contains the given points. Round approximate values of a and b to two decimal places:
A) (0,5) and (4,83)
B) (3,95) and (8,2)
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
y=ab^x

Part (A):

ln%28y%29=ln%28a%29%2Bx%2Aln%28b%29

system%28ln%285%29=ln%28a%29%2B0%2Aln%28b%29%2Cln%2883%29=ln%28a%29%2B4%2Aln%28b%29%29

system%28ln%285%29=ln%28a%29%2Cln%2883%29=ln%28a%29%2B4%2Aln%28b%29%29

ln%2883%29=ln%285%29%2B4%2Aln%28b%29

%28ln%2883%29-ln%285%29%29%2F4=ln%28b%29

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ln%28b%29=0.70235067
highlight%28b=2.01849%29

ln%285%29=ln%28a%29
highlight%28a=5%29