3 ∧ x + 2*3 ∧ (-x-2) = 1

Question

3 ∧ x + 2*3 ∧ (-x-2) = 1

Answer 1

Пусть 3^x=t >0, тогда
t +2/(9t)=1, t^2 +2/9=t, t^2 -t+ 2/9=0, t=(1 +-√(1- 8/9))/2,
t=(1+-1/3)/2, t=4/6=2/3, t=2/6=1/3
1. 3^x=2/3, x=log_3(2/3)
2. 3^x=1/3, x= -1