I have to solve this by iteration method to find Th outSolut

I have to solve this by iteration method to find Th, out.

Solution

ln(42) = 3.74

12.8 =42- (Thout - 78) / ln(42) (Th_out - 78)

12.8 =42- (Thout - 78) / 3.74 (Th_out - 78)

12.8 * 3.74 (Th_out - 78) =42- (Thout - 78)

12.8 (3.74 Th_out - 291.8)=42- Thout +78

47.88 Th_out - 3735 = 42- Thout +78

(47.88 - 1)Th_out = 3735+ 42 + 78

46.88Th_out = 3855

Th_out = 82.23