SOLUTION: Find the exponential function (f(x))=a^(x) whose graph goes through the point (3,(1/125)).

SOLUTION: Find the exponential function (f(x))=a^(x) whose graph goes through the point (3,(1/125)).

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Question 230891: Find the exponential function (f(x))=a^(x) whose graph goes through the point (3,(1/125)).
Answer by user_dude2008(1862) (Show Source): You can put this solution on YOUR website!
f(3)=a^3=1/125 ----> a^3=1/125 ----> a^3=1/5^3 ----> a^3=(1/5)^3 ----> a=1/5

Answer: a=1/5 ----> function is f(x)=(1/5)^x
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