log3(x-1)=log9(x 5)怎么解?

log9(x 5)=log(3)^2(x 5)=1/2log3(x 5)=log3√(x 5)
log3(x-1)=log3√(x 5)
x-1=√(x 5)
x^2-2x 1=x 5
x^2-3x-4=0
(x-4)(x 1)=0
x1=4,x2=-1
经检验得x2=-1不符合,舍去
x=4

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