SOLUTION: Where does the graph of v(x) = log5 (x) and its inverse intersect? we tried using a graphing calc and it says no solution. we are not very certain if it correct. thank you!

Question 1149089: Where does the graph of v(x) = log5 (x) and its inverse intersect?
we tried using a graphing calc and it says no solution. we are not very certain if it correct. thank you!
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!

One way you can see they can not be equal is by thinking about x approaching zero from the negative side (i.e. consider negative x values). Only is defined on that region, and when x=0, . Now as x takes on positive values, becomes larger and larger positive values: (, , etc.). Looking at , it is only defined on x>0 and is negative for x < 1 and then reaches 0 at x=1, 1 at x=5, and then slowly rises for larger x values.

A picture is worth a 1000 words:

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