Different between log and ln ?
Answers
Answer:
Usually log(x) means the base 10 logarithm; it can, also be written as log10(x) . ... ln(x) means the base e logarithm; it can, also be written as loge(x) . ln(x) tells you what power you must raise e to obtain the number x.
Answer:
Step-by-step explanation:
There's a huge difference between log and ln!
A logarithm is a form of math used to help solve the following sort of problems:
a
x
=
b
The question you're asking here is to what power do I need to raise
a
to get
b
? This exact thing can be said using logarithms (as shown below):
log
a
b
=
x
The relationship between logarithms and exponents is described below:
spmaddmaths.onlinetuition.com.my
spmaddmaths.onlinetuition.com.my
That value
a
there is what we call our base, and it can vary based on what problem you're trying to solve.
When you have a base 10, then it's convention to just drop the base from the notation, since it's implied that you're talking about a base of 10.
So
log
(
3
)
and
log
10
(
3
)
are one and the same thing, the same way
x
and
1
x
are the same thing: they tell you the same thing, but one has superfluous information.
When you have a base
e
, you switch to
ln
, and again drop the base from your notation.
So
ln
(
3
)
is the exact same thing as
log
e
(
3
)
.
As you can see,
log
(
x
)
and
ln
(
x
)
are not the same thing! They involve the same concept, and are both logarithms, but they are still different things.
I made a video about logarithms, if you're interested: