Question 1131076

Let {{{f(x)=log(x)}}}
What is the average rate of change of {{{f(x) }}}from {{{4 }}}to{{{ 6}}}? 


{{{f(x)=log(x)}}}
=>
 {{{f(4)=log(4)}}}

{{{f(6)=log(6)}}}


We have two ordered pairs:
 
({{{4}}},{{{log(4)}}}) and ({{{6}}},{{{log(6)}}})

The average rate of change is the slope (m) of the secant line connecting the two points:

{{{m = (log(6) - log(4))/(6-4) = (0.176091259055681242081289)/2}}} ≅{{{ 0.088}}}