Question

(Log3 X)² + log3 X=3

Answer 1

Vamos là.

log3(x)² + log3(x) = 3

y = log3(x)

y² + y - 3 =  0

delta

d² = (1 + 12) = 13

y1 = (-1 + √13)/2

y2 = (-1 - √13)/2

y = log3(x)

x = 3^y

x1 = 3^(-1 - √13)/2

x2 = 3^(1 + √13)/2