Решите: 1-log9(x)/1+log3(x)<1/2

Question

Решите: 1-log9(x)/1+log3(x)<1/2</p>

Answer 1

(1-log3x/2)/(log3(3x)<1/2</p>

2-log3(x)/2log3(3x)<1/2</p>

(2-log3(x))/log3(3x)<1</p>

(log3(9)-log3(x))/log3(3x)<1</p>

log3(9/x)

9/x<3x</p>

(x^2-1)/x>0 из определения логарифма х>0

x^2-1>0

x>1