Question

(log2x)2 - 10 log2 x = -16
me ajudem por favor! ​

Answer 1

(log2 x)² - 10 log2 x = -16. => log2 x = y

y² - 10y +16 = 0

(y -2) . (y -8)= 0

y'=2. y"=8

log2 x = y' log2 x = y"

log2 x = 2. log2 x = 8

x=2². x=2^8

x'= 4 ✓ x"= 256 ✓