# log(x) or ln(x)

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#4

(Original post by

log(X) usually means a log with base 10 whereas ln(X) means a lot with base e

**jamiet0185**)log(X) usually means a log with base 10 whereas ln(X) means a lot with base e

It's very rare to find log(x) to mean log base 10.

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#5

(Original post by

Both log(x) and ln(x) denote the natural logarithm.

It's very rare to find log(x) to mean log base 10.

**Mihaly**)Both log(x) and ln(x) denote the natural logarithm.

It's very rare to find log(x) to mean log base 10.

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#6

Not sure what the point of this is.

As it stands, it really depends on your area of expertise. Across all of mathematics, the norm is that and both denote the natural logarithm, because base 10 is completely inconvenient. If we really do intend to mean base 10, we either define it as so at the beginning of our work, or just write .

Whereas if you go into some sort of area like engineering, then will always refer to base 10 logarithm, because real-life measurements are in the base-10 system and so it is very much convenient in this context.

As it stands, it really depends on your area of expertise. Across all of mathematics, the norm is that and both denote the natural logarithm, because base 10 is completely inconvenient. If we really do intend to mean base 10, we either define it as so at the beginning of our work, or just write .

Whereas if you go into some sort of area like engineering, then will always refer to base 10 logarithm, because real-life measurements are in the base-10 system and so it is very much convenient in this context.

Last edited by RDKGames; 5 months ago

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#7

log is almost unanimously used to mean the natural logarithm in maths. In some cases it might also denote the base-2 logarithm. It will be clear from context.

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#8

**Mihaly**)

Both log(x) and ln(x) denote the natural logarithm.

It's very rare to find log(x) to mean log base 10.

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Some of yall are reading into something that isn't there.

I'm just curious what notation people prefer.

I'm just curious what notation people prefer.

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#10

(Original post by

Some of yall are reading into something that isn't there.

I'm just curious what notation people prefer.

**anon2.718**)Some of yall are reading into something that isn't there.

I'm just curious what notation people prefer.

It's a matter of context.

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#11

(Original post by

log(x) and ln(x) mean the same thing as far as I know.

**Mihaly**)log(x) and ln(x) mean the same thing as far as I know.

Whereas ln(x) implies natural log or base e

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#12

(Original post by

It's not really a matter of preference is it?

It's a matter of context.

**BuryMathsTutor**)It's not really a matter of preference is it?

It's a matter of context.

**anon2.718**)

Some of yall are reading into something that isn't there.

I'm just curious what notation people prefer.

Last edited by RDKGames; 5 months ago

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#13

In applied areas, it might be a bit more ambiguous, so ln might be used. (some places, eg. proofwiki use ln everywhere to avoid ambiguity)

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#14

(Original post by

In pure maths, log is usually unmistakably the natural logarithm. (unless context suggests otherwise)

In applied areas, it might be a bit more ambiguous, so ln might be used. (some places, eg. proofwiki use ln everywhere to avoid ambiguity)

**_gcx**)In pure maths, log is usually unmistakably the natural logarithm. (unless context suggests otherwise)

In applied areas, it might be a bit more ambiguous, so ln might be used. (some places, eg. proofwiki use ln everywhere to avoid ambiguity)

This is just what I thought it was from my A-level days.

As an engineer I pretty much just use ln for everything

Last edited by mnot; 5 months ago

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#15

(Original post by

Not sure what the point of this is.

As it stands, it really depends on your area of expertise. Across all of mathematics, the norm is that and both denote the natural logarithm, because base 10 is completely inconvenient. If we really do intend to mean base 10, we either define it as so at the beginning of our work, or just write .

Whereas if you go into some sort of area like engineering, then will always refer to base 10 logarithm, because real-life measurements are in the base-10 system and so it is very much convenient in this context.

**RDKGames**)Not sure what the point of this is.

As it stands, it really depends on your area of expertise. Across all of mathematics, the norm is that and both denote the natural logarithm, because base 10 is completely inconvenient. If we really do intend to mean base 10, we either define it as so at the beginning of our work, or just write .

Whereas if you go into some sort of area like engineering, then will always refer to base 10 logarithm, because real-life measurements are in the base-10 system and so it is very much convenient in this context.

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#16

(Original post by

At A level there is a distinction.

**Muttley79**)At A level there is a distinction.

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#17

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#18

(Original post by

Which part of this thread suggests that OP has asked this question in the context of A-Level studies, and not beyond?

**RDKGames**)Which part of this thread suggests that OP has asked this question in the context of A-Level studies, and not beyond?

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#19

(Original post by

You've assumed - so I thought I should clarify. It might have been helpful to specify the level you were talking about?

**Muttley79**)You've assumed - so I thought I should clarify. It might have been helpful to specify the level you were talking about?

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**BuryMathsTutor**)

It's not really a matter of preference is it?

It's a matter of context.

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