Question

Помогите решить,пожалуйста
$\sqrt[x]{2} *\sqrt[2x]{3} =12$

Answer 1

ˣ√2 * ²ˣ√3 = 12

2^1/x * 3^1/2x = 12

2^2/2x * 3^1/2x = 12

4^1/2x * 3^1/2x = 12

12^1/2x = 12

1/2x = 1

2x = 1

x = 1/2