Manuals/calci/LOG

LOG (Number,Base)

• $Number$ is a positive real number and
• $Base$ is the base of the logarithm.

LOG() returns the logarithm of a number to a specified base.

Description

LOG(Number,Base)

For Example,

LOG(10, 2) returns 3.3219280948873626

LOG(100,10) returns 2

LOG(4, 0.5) returns -2

• The $Number$ should be a positive real number. Else Calci displays NaN error message.
• The $Base$ should be a positive real number. Else Calci displays NaN error message.
• If the $Base$ is omitted, Calci assumes it to be 10.
• LOG() can be used in an equation as -

LOG(LOG(10,2),3) + LOG(10,2) returns 4.414711580210549

• The function can be used to find the logarithm of array of numbers with a specified base.

e.g. LOG(10..15, 2) that displays the output as below -

n	base	LOG Output
10	2	3.3219280948873626
11	2	3.4594316186372977
12	2	3.5849625007211565
13	2	3.700439718141092
14	2	3.8073549220576037
15	2	3.9068905956085187

Examples

10	2
50	10
7.5	7.5
120
700

=LOG(A1,B2)  : Calculates the logarithm of 10 with base 10. Returns 1 as a result. 
=LOG(A4:A5,B1)  : Calculates the logarithm of values 120, 700 with base B1 (2).Returns 6.906890595608519, 9.451211111832329 as a result.
=LOG(A4)  : Calculates the logarithm of 120. Here base is assumed to be 10. Returns 2.0791812460476246 as a result.
=LOG(100,B3)  : Calculates the logarithm of 100 with base 7.5. Returns 2.2855542619359994 as a result.

Related Videos

LOG

See Also

• LN

• LOG10

References

• Logarithm

• List of Main Z Functions

• Z3 home