解不等式:2log3(x-4)>log3(x-2)

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解不等式:2log3(x-4)>log3(x-2)解不等式:2log3(x-4)>log3(x-2)解不等式:2log3(x-4)>log3(x-2)2log3(x-4)>log3(x-2)log3(

解不等式:2log3(x-4)>log3(x-2)
解不等式:2log3(x-4)>log3(x-2)

解不等式:2log3(x-4)>log3(x-2)
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