SOLUTION: Let f(x)=logx . What is the average rate of change of f(x) from 4 to 6?

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Question 1131076: Let f(x)=logx .
What is the average rate of change of f(x) from 4 to 6?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Let f%28x%29=log%28x%29
What is the average rate of change of f%28x%29+from 4+to+6?

f%28x%29=log%28x%29
=>
f%284%29=log%284%29
f%286%29=log%286%29

We have two ordered pairs:

(4,log%284%29) and (6,log%286%29)
The average rate of change is the slope (m) of the secant line connecting the two points:
m+=+%28log%286%29+-+log%284%29%29%2F%286-4%29+=+%280.176091259055681242081289%29%2F2 ≅+0.088