Решите уравнение 2log[5]^2x+5log[5]x+2=0

Question

Решите уравнение 2log[5]^2x+5log[5]x+2=0

Answer 1

Log5 x = t
2t² +5t +2 = 0
D = 9
t1 = (-5+3)/4 = -1/2
t2 = (-5 -3)/4 = -2
a) t = -1/2
log5 x = -1/2
x = 1/√5
б) t= -2
log5 x = -2
x = 5^-2 = 1/25

Comments

спс, выручил