Compare the functions f(x) = x5 and g(x) = 5x by graphing both functions in several viewing rectangles.
There should be a smaller x value and a larger x value.
I found that the smaller x value is (1.8,17.1).
I cannot find the larger x value.
"Find all points of intersection of the graphs correct to one decimal place."
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You can see a graph of the two functions here:
It should also be apparent that there are two points of intersection.
Those points are found by solving the equation,
x^5 = 5^x
Looking at this equation, what happens if you substitute x = 5 ?
So, your two points of intersection are:
(1.8,17.1) , (5, 5^5)
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