EXPONENTIAL FUNCTIONS
Fig. 24-7
Fig. 24-8
201
24.63
24.64
24.65
24.66
24.67
24.68
24.69
24.70
24.71
Sketch the graph of y = 2".
Since
the graph has the same general shape as that of v = e' (Fie. 24-81. a little lower for
x > 0 and a little higher for x < 0 (because 2 < e).
Problems 24.64-24.71 refer to the function
the so-called logarithm of x to the base a.
(Assume a>0 and a ^1.)
Show that
Show that
Show that
Show that
Show that
Show that
By Problem 24.68,
Show that
Subtract log a v from both sides.
Prove that
In x.