Log

Log(z)

returns the natural logarithm of z.

Log(base, z)

get the logarithm of z for base base.

For the natural logarithm functions Ln(x) or Log(x) the logarithms are taken with the natural base, E. To get a logarithm of a different base b, use Log(b, x), which is essentially a short-hand for Log(x)/Log(b). Other short-hands are Log10(x) for Log(x)/Log(10) and Log2(x) for Log(x)/Log(2).

See

• Wikipedia - Logarithm
• Fungrim - Natural logarithm

Examples

>> Log(E)
1

>> Log({0, 1, E, E * E, E ^ 3, E ^ x})
{-Infinity,0,1,2,3,Log(E^x)}

>> Log(0.)
Indeterminate

>> Log(1000) / Log(10)
3

>> Log(1.4)
0.3364722366212129

>> Log(Exp(1.4))
1.3999999999999997

>> Log(-1.4)
0.3364722366212129+I*3.141592653589793

Implementation status

• ✅ - full supported

Github

• Implementation of Log

• Rule definitions of Log