Make
Math
Work
Logs
Usage:
Log [e | x] [base, ] Number
The Log command will calculate the logarithm of Number to the optional base. If the base is not given it is assumed to be 10. Therefore Log 100 to the base 10 is entered as
Log 10
.
For bases other than 10 there a two choices:
1) You can use a base of e (the constant 2.71828...) using the syntax
Log e Number
.
For example, to compute
log 12 to the base e
, enter
Log e 12
.
2) You can use any other base by using the syntax
Log x Base, Number
where
Base
can be any number.
For example, to compute
log 12 to the base 2
, enter
Log x 2, 12
.
Note that
Log x 10, 100
would compute the same result as
Log 100
.
A logarithm to base b of a number x is an exponent that satisfies x = b
y
. It is written
log
b
(x)
or, if the base is implicit,
log(x)
. So, a logarithm in essence is the inverse of an exponentiation.
y = log
b
(x)
is equivalent to
x = b
y
.
Examples:
Log 10
Log e 12
Log x 2, 12