52 The Natural Logarithon
Def. The natural logarithmic function is
•\w(x) = {² = dt for x>0
y='f
If x>!, then
la(x) = 5x Feltro
ㅏ
in
In (1) = 1 = dt =0 | | (\mu)$ = =
&dt=0
Examples
If xal, then
In(x) = - ( ^ +=+=+ dtco
X
a) a = (x \m(x)
=
6) (la(que)) = g(x).
g'(x) = g'(x)
g(x)
c) & ((7cxx)+x)) = 7/1094)+5+
Properties of logarithms
I. !^ (MN) = In (M) tin (N)
M
2. In (^/^W) = \n (MS-In (N)
ال
3. In (M²) = ln(M)
757781+15
7105(x1+5x
༢
Special
case
of chain vie
स्न
Def. The natural logarithmic function is
•\w(x) = {² = dt for x>0
y='f
If x>!, then
la(x) = 5x Feltro
ㅏ
in
In (1) = 1 = dt =0 | | (\mu)$ = =
&dt=0
Examples
If xal, then
In(x) = - ( ^ +=+=+ dtco
X
a) a = (x \m(x)
=
6) (la(que)) = g(x).
g'(x) = g'(x)
g(x)
c) & ((7cxx)+x)) = 7/1094)+5+
Properties of logarithms
I. !^ (MN) = In (M) tin (N)
M
2. In (^/^W) = \n (MS-In (N)
ال
3. In (M²) = ln(M)
757781+15
7105(x1+5x
༢
Special
case
of chain vie
स्न
