Calculator User Manual
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










