Question
How can you compute
2
π
?
Answer
Define
z
= 2
π
.
Take the natural log of both sides to get
ln
z
=
ln 2
π
=
π ln 2
=
3.14 × 0.693147
=
2.17759.
Hence
z
=
e
2.17759
= 8.82498.
Generalization
z
≡
x
y
,
then by taking the natural logarithm of the both sides, one obtains
log
z
=
log
x
y
=
y
log
x
,
so that
z
= exp(
y
log
x
).
File translated from T
E
X by
T
T
H
, version 4.03.
On 30 Jan 2024, 13:48.