SOLUTION: Find a formula for the exponential function that satisfies g(0)=7 and g(−2)=7/4.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Find a formula for the exponential function that satisfies g(0)=7 and g(−2)=7/4.       Log On


   

Question 905392: Find a formula for the exponential function that satisfies g(0)=7 and g(−2)=7/4.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
g%28x%29=Ae%5E%28bx%29
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g%280%29=Ae%5E%280%29=A=7
highlight%28A=7%29
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g%28-2%29=7e%5E%28-2b%29=7%2F4
e%5E%28-2b%29=1%2F4
-2b=ln%281%2F4%29
highlight%28b=-%281%2F2%29ln%281%2F4%29%29
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