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Swing the Logarithmic Curve around (1, 0)

​
base
2
The logarithmic function to the base
b
, where
b>0
and
b≠1
, is defined by
y=
log
b
x
if and only if
x=
y
b
; the domain is
0<x<∞
and the range is
-∞<y<∞
.
Move the slider; the base of the logarithm changes and you see its graph swing around the point
(1,0)
.
Closely observe the two cases
0<b<1
and
b>1
. Also notice where the blue curve lies in relation to the common logarithm
log
(base 10) and the natural logarithm
ln
.
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