Question: Use a graphing utility and the change-of-base property to graph y = log 3 x, y = log 25 x, and y = log 100

Use a graphing utility and the change-of-base property to graph y = log3 x, y = log25 x, and y = log100 x in the same viewing rectangle.

a. Which graph is on the top in the interval (0, 1)? Which is on the bottom?

b. Which graph is on the top in the interval (1,∞)? Which is on the bottom?

c. Generalize by writing a statement about which graph is on top, which is on the bottom, and in which intervals, using y = logb x where b > 1.

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