log4^(13-3x)*log(x-1)^2=1的解

log4^(13-3x)*log(x-1)^2=1
log4^(13-3x)=1/log(x-1)^2
1/2*log2^(13-3x)=log2^(x-1)
所以√(13-3x)=x-1
平方
13-3x=x^2-2x+1
x^2+x-12=0
x=-4,x=3
真数13-3x>0,x-1>0
所以x=3