Question 191170: If g(x) = bx and h(x) = logbx, would the graphs of these functions intersect if b = 1? If so, at what ordered pair?
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! If g(x) = bx and h(x) = logbx, would the graphs of these functions intersect if b = 1? If so, at what ordered pair?
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Since b = 1, what you have is:
g(x) = x and h(x) = log(x)
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g(x) = x is a straight line thru the Origin with a slope of +1 (45 degrees up to the right).
h(x) crosses the x-axis at (1,0 and does not intersect g(x).
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In other words, log(x) = x has no solution.
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You can see these graphically if you dl the (free) software at
www.padowan.dk.com/graph/
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