Difference between revisions of "Manuals/calci/LOG"
Jump to navigation
Jump to search
| (16 intermediate revisions by 3 users not shown) | |||
| Line 1: | Line 1: | ||
| − | =LOG( | + | <div style="font-size:30px">'''LOG (Number,Base)'''</div><br/> |
| − | * | + | *<math>Number</math> is a positive real number and |
| − | * | + | *<math>Base</math> is the base of the logarithm. |
| − | + | **LOG(), returns the logarithm of a number to a specified base. | |
| − | LOG() | ||
== Description == | == Description == | ||
| − | LOG( | + | LOG(Number,Base) |
For Example, | For Example, | ||
| Line 16: | Line 15: | ||
LOG(100,10) ''returns 2'' | LOG(100,10) ''returns 2'' | ||
| − | *The | + | LOG(4, 0.5) ''returns -2'' |
| − | *The | + | |
| − | *If the | + | *The <math>Number</math> should be a positive real number. Else Calci displays NaN error message. |
| + | *The <math>Base</math> should be a positive real number. Else Calci displays NaN error message. | ||
| + | *If the <math>Base</math> 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. | *The function can be used to find the logarithm of array of numbers with a specified base. | ||
| − | e.g. LOG(10.. | + | e.g. LOG(10..15, 2) that displays the output as below - |
| + | {| class="wikitable" | ||
| + | |- | ||
| + | ! 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 == | == Examples == | ||
| Line 35: | Line 55: | ||
|- class="odd" | |- class="odd" | ||
| − | | class="sshl_f" | | + | | class="sshl_f" | 50 |
| − | | class="sshl_f" | | + | | class="sshl_f" | 10 |
| class="sshl_f" | | | class="sshl_f" | | ||
|- class="even" | |- class="even" | ||
| − | | class="sshl_f" | | + | | class="sshl_f" | 7.5 |
| − | | class="sshl_f" | | + | | class="sshl_f" | 7.5 |
| class="sshl_f" | | | class="sshl_f" | | ||
|- class="odd" | |- class="odd" | ||
| − | | class="sshl_f" | | + | | class="sshl_f" | 120 |
| − | | class="sshl_f" | | + | | class="sshl_f" | |
| class="sshl_f" | | | class="sshl_f" | | ||
|- class="even" | |- class="even" | ||
| − | | class="sshl_f" | | + | | class="sshl_f" | 700 |
| class="sshl_f" | | | class="sshl_f" | | ||
| class="sshl_f" | | | class="sshl_f" | | ||
|} | |} | ||
| + | |||
| + | =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== | ||
| + | |||
| + | {{#ev:youtube|Z5myJ8dg_rM|280|center|LOG}} | ||
| + | |||
| + | == See Also == | ||
| + | |||
| + | *[[Manuals/calci/LN| LN]] | ||
| + | |||
| + | *[[Manuals/calci/LOG10| LOG10]] | ||
| + | |||
| + | ==References== | ||
| + | |||
| + | *[http://en.wikipedia.org/wiki/Logarithm Logarithm] | ||
| + | |||
| + | |||
| + | |||
| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
| + | |||
| + | *[[ Z3 | Z3 home ]] | ||
Latest revision as of 17:29, 17 August 2018
LOG (Number,Base)
- is a positive real number and
- is the base of the logarithm.
- LOG(), returns the logarithm of a number to a specified base.
is a positive real number and
is the base of the logarithm.
Description
LOG(Number,Base)
For Example,
LOG(10, 2) returns 3.3219280948873626
LOG(100,10) returns 2
LOG(4, 0.5) returns -2
- The should be a positive real number. Else Calci displays NaN error message.
- The should be a positive real number. Else Calci displays NaN error message.
- If the 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
See Also
References