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LN

On a TI calculator you can calculate natural logarithms

LN

or via the CATALOG as

CATALOG  
2nd 0 ►ln(   ENTER

 


Example 1

To calculate ln (1) = 0

 
LN  1  ENTER ln(1
0

 


Example 2

To calculate ln (e) = 1

e M
LN 2nd ÷ ENTER ln(e
1

 


Example 3

To calculate ln (e2) = 2 × ln (e) = 2 × 1 = 2

e x         S
LN 2nd LN  2  ENTER ln(e^(2
2

 


Example 4

To calculate ln (√7) = 0.97295...

          I
LN 2nd x²  7  ENTER ln(√(7
.9729550745

and also ln (√7) = ½ ln (7) = 0.97295...

 
LN  7  ) ÷  2  ENTER ln(7)/2
.9729550745

 


Example 5

To calculate eln (7) = 7

e x         S
2nd LN LN  7  ENTER e^(ln(7
7

and this demonstrates the definition of the logarithm.

 


Example 6

To calculate the principle value of ln (-1) = πi = 3.141592654i in rectangular form (a+bi mode)

 
LN (–)  1  ENTER ln( -1
3.141592654i

or as ln (-1) = 3.141592654e1.570796327i in polar form (re^θi mode)

 
LN (–)  1  ENTER ln( -1
3.141592654e^1…

 


Details

The functions ln and ex are on the same key. This makes sense because these functions all deal with the number e.

 


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