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Product Rule
Reference
> Algebra: Natural Logarithms
Description
The Product Rule states that:
ln
(
x
y
)
=
ln
x
+
ln
y
\ln{(xy)}=\ln{x}+\ln{y}
ln
(
x
y
)
=
ln
x
+
ln
y
Examples
ln
7
+
ln
2
\ln{7}+\ln{2}
ln
7
+
ln
2
1
Use
Product Rule
:
ln
(
x
y
)
=
ln
x
+
ln
y
\ln{(xy)}=\ln{x}+\ln{y}
ln
(
x
y
)
=
ln
x
+
ln
y
.
ln
(
7
×
2
)
\ln{(7\times 2)}
ln
(
7
×
2
)
2
Simplify
7
×
2
7\times 2
7
×
2
to
14
14
1
4
.
ln
14
\ln{14}
ln
1
4
Done
Decimal Form: 2.639057
ln(14)
English
Product Rule