Question

x^(log2x)=64
заранее спс

Answer 1

Решение
x^(log2  x) = 64x
((log2 ( x))* log2  (x)) = log(64x)
((log2 ( x))* log2  (x)) = log2 (64) + log2  (x)
log^2(2) x - log(2) x - 6 = 0
D = 1 + 4*1*6 = 25
1)  log(2)  x = (1-5)/2
 log(2) x = - 2
 x = 2^(-2)
 x1 = 1/4
2)  log(2)  x = (1+5)/2
 log(2) x = 3
 x = 2^(3)
 x2 = 8
Ответ: х1 = 1/4
х2 = 8