The Natural Logarithm
The General Logarithm
The Common Logarithm
The Binary Logarithm
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. The base can be entered as an index or as the second argument. Similarly, e can also be entered as exp(1) in 1-D. See exp for more about the exponential function.
The log2 command was introduced in Maple 2021.
For more information on Maple 2021 changes, see Updates in Maple 2021.
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