| 2 | ( | 2 | ( | 2 | ( | 2 | ( | 2 | x | ) | ) | ) | ) | = | 4 | ( | 4 | ( | 4 | ( | 4 | ( | 4 | x | − | 1 | ) | ) | ) | ) |
| 方程左边 = | 2 | × | 2 | ( | 2 | ( | 2 | ( | 2 | x | ) | ) | ) |
| = | 4 | ( | 2 | ( | 2 | ( | 2 | x | ) | ) | ) |
| = | 4 | × | 2 | ( | 2 | ( | 2 | x | ) | ) |
| = | 8 | ( | 2 | ( | 2 | x | ) | ) |
| = | 8 | × | 2 | ( | 2 | x | ) |
| = | 16 | ( | 2 | x | ) |
| = | 16 | × | 2 | x |
| = | 32 | x |
| 32 | x | = | 4 | ( | 4 | ( | 4 | ( | 4 | ( | 4 | x | − | 1 | ) | ) | ) | ) |
| 方程右边 = | 4 | × | 4 | ( | 4 | ( | 4 | ( | 4 | x | − | 1 | ) | ) | ) |
| = | 16 | ( | 4 | ( | 4 | ( | 4 | x | − | 1 | ) | ) | ) |
| = | 16 | × | 4 | ( | 4 | ( | 4 | x | − | 1 | ) | ) |
| = | 64 | ( | 4 | ( | 4 | x | − | 1 | ) | ) |
| = | 64 | × | 4 | ( | 4 | x | − | 1 | ) |
| = | 256 | ( | 4 | x | − | 1 | ) |
| = | 256 | × | 4 | x | − | 256 | × | 1 |
| = | 1024 | x | − | 256 |
| 32 | x | = | 1024 | x | − | 256 |
| 32 | x | − | 1024 | x | = | - | 256 |
| - | 992 | x | = | - | 256 |
| 256 | = | 992 | x |
| 992 | x | = | 256 |
| x | = | 256 | ÷ | 992 |
| = | 256 | × | 1 992 |
| = | 8 | × | 1 31 |
| x | = | 8 31 |
| x | = | 0.258065 |