Texas Instruments TI-89 Calculator User Manual


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Appendix A: Functions and Instructions 839
log() CATALOG/ ¥ 7 key
log(expression1[,expression2]) expression
log(list1[,expression2]) list
Returns the base-
expression2
logarithm of the
argument.
For a list, returns the base-
expression2
logarithm of
the elements.
If expression 2 is omitted, 10 is used as base.
log(2.0) ¸ .301...
If complex format mode is REAL:
log({ë 3,1.2,5}) ¸
Error: Non-real result
If complex format mode is RECTANGULAR:
log({ë 3,1.2,5}) ¸
{log(3)+ 1.364…
(
i
.079… log(5)}
log(
squareMatrix1
)
squareMatrix
Returns the matrix base-
expression2
logarithm of
squareMatrix1
. This is
not
the same as calculating
the base-
expression2
logarithm of each element.
For information about the calculation method,
refer to
cos().
squareMatrix1
must be diagonalizable. The result
always contains floating-point numbers.
In Radian angle mode and Rectangular complex
format mode:
log([1,5,3;4,2,1;6,ë2,1]) ¸
.795…+.753…ø
i
.003…ì.647…ø
i
.194…
ì.315…ø
i
.462…+.270ø
i
ë.115…ì.904…ø
i
.488…+.777…ø
i
log(
x,b
)
expression
log(
squareMatrix1
)
squareMatrix
In a list, returns the base expression 2 logarithm of
the elements.
Log(10,3) – log(5,3) ¸ Log3(2)
Log(2.0,4)
¸ .5
4
44
4logbase MATH/String menu
expression 4
44
4logbase(expression1)
expression
Causes the input expression to be
simplified to an expression using base
expression1.
Log(10,3) – log(5,5)4logbase(5)
¸
)3(log
)30(log
5
5