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

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


   



Question 230891: Find the exponential function (f(x))=a^(x) whose graph goes through the point (3,(1/125)).
Answer by user_dude2008(1862) About Me  (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