# 7. Solving the x^y = ???? equation

Bài toán tìm x,y khi x^y = 19487171.

```
(set-logic QF_BV)
(declare-fun x () (_ BitVec 32))
(declare-fun y () (_ BitVec 4))
(declare-fun out () (_ BitVec 32))
; like switch() or if() tree:
(assert (= out
        (ite (= y #x2) (bvmul_no_overflow x x)
        (ite (= y #x3) (bvmul_no_overflow x x x)
        (ite (= y #x4) (bvmul_no_overflow x x x x)
        (ite (= y #x5) (bvmul_no_overflow x x x x x)
        (ite (= y #x6) (bvmul_no_overflow x x x x x x)
        (ite (= y #x7) (bvmul_no_overflow x x x x x x x)
        (_ bv0 32)))))))))

(assert (= out (_ bv19487171 32)))

(check -sat)
(get-model)
```


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