Question

log3 ( log^2 0,5 x - 3log 0,5 x+5)= 2

Answer 1

Ответ: x1=2           x2= 1/625

Объяснение:

log²(0.5;x) -3log(0.5 ;x)  +5 =3²=9

log²(0.5;x) -3log(0.5 ;x)  -4=0

log(0.5;x)= y

=> y²-3y-4=0

y1=-1

y2=4

=> log(0.5;x) =-1      log(0.5;x) =4

x1= 0.5^(-1)=2           x2=0.5^4 =1/625