(12C) X to Power of X Equation

[Gamo]

Here is the approximation of the equation of X^X=Y
X to the power of X for the given Y

Procedure: Used FIX 6 or more, Store approximation value in R1 (STO 1)

Example: X^X=1000
Use 4 to store approximation value 4 [STO 1]
1000 R/S result 4.544975
1000 R/S result 4.555231
1000 R/S result 4.555527
1000 R/S result 4.555535

About 5 repeated R/S will give accuracy to 6 decimal digits.

Since HP-12C doesn't have Iteration Function like DSE or ISG

Not sure if I implement this the right way or not. Any change is very welcome.

Program:

Code:


01 LN
02 ENTER
03 ENTER
04 ENTER
05 RCL 1
06 LN
07 /
08 RCL 1
09 +
10 2
11 /
12 STO 1
13 LN
14 /
15 RCL 1
16 +
17 2
18 /
19 STO 1
20 STO 0
21 ENTER
22 ENTER
23 ENTER
24 RCL 0
25 -
26 ENTER
27 x
28 √
29 X<>Y
30 EXX
31 8
32 /
33 X<>Y
34 X<=Y
35 GTO 39
36 R↓
37 R↓
38 GTO 20
39 R↓
40 R↓

Gamo