Question

解不等式：2log3(x－4)>log3(x－2)

Answer 1

2log3(x－4)>log3(x－2)

log3(x-4)^2>log3(x－2)

因为底数是3,是增函数,则

(x-4)^2>x-2 x-4>0 x-2>0

x^2-8x+16>x-2 x>4 x>2

x^2-9x+18>0

(x-6)(x-3)>0

x>6或 x4

所以 x>6