ln
The Natural Logarithm
log
The General Logarithm
log10
The Common Logarithm
Calling Sequence
Parameters
Description
Examples
ln(x)
log(x)
log10(x)
log[b](x)
logb⁡x
x
-
expression
b
base
The natural logarithm, ln, is the logarithm with base ⅇ=2.71828... For 0<x we have ln⁡x=y <==> x=ⅇy.
For complex-valued expressions x, ln⁡x=ln⁡x+I⁢arg⁡x, where −π<argument(x)<=π. Throughout Maple, this computation is taken to be the definition of the principal branch of the logarithm.
The log function is the general logarithm. For 0<x and 0<b we have logb⁡x=y<==>x=by. log is extended to general complex b and x by logb⁡x=ln⁡xln⁡b.
The default value of the base b is ⅇ.
You can enter the function log with base b using either the 1-D or 2-D calling sequence. Similarly, e can also be entered as exp(1) in 1-D. See exp for more about the exponential function.
log10⁡x=log10⁡x.
ln⁡x=logⅇ⁡x.
ln⁡1
0
ⅆⅆx⁢ln⁡x
1x
ln⁡3.14+2.71⁢I
1.422562238+0.7120258406⁢I
ln⁡3+4⁢I
evalc⁡
ln⁡5+I⁢arctan⁡43
ln⁡10000
4⁢ln⁡10
log⁡10000
log⁡ⅇ3
3
log10⁡10000
4
logⅇ⁡x
ln⁡x
ln⁡xln⁡b
log10⁡65
ln⁡65ln⁡10
log10⁡100
2
log2⁡ⅇ
1ln⁡2
evalf⁡
1.442695041
log5⁡5⁢x−log5⁡x
ln⁡5⁢xln⁡5−ln⁡xln⁡5
simplify⁡
1
solve⁡log6⁡2⁢y=2,y
18
convert⁡arcsin⁡x,ln
−I⁢ln⁡I⁢x+−x2+1
See Also
argument
convert
evalc
evalf
ilog10
initialfunctions
RealDomain
simplify
solve
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