SOLUTION: Given the function f(x)=2e^3x+1 a. Find f(.20) b. Find the value of x such that f(x)=8

Algebra ->  Functions -> SOLUTION: Given the function f(x)=2e^3x+1 a. Find f(.20) b. Find the value of x such that f(x)=8      Log On


   

Question 1007538: Given the function f(x)=2e^3x+1
a. Find f(.20)
b. Find the value of x such that f(x)=8
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Use your calculator to find
f(x) = 2*e^3x + 1
f(.20) = 2*e^(3*.2) + 1 = 4.644
Then set it equal to 8 and solve
8 = 2*e^3x + 1
7 = 2*e^3x
3.5 = e^3x
ln 3.5 = 3x
x = (1/3)ln 3.5 = .418