log(3)(x^2-10)=1+log(3)(x)
log(3)(x^2-10)=log(3)(3)+log(3)(x)
log(3)(x^2-10)=log(3)(3x)
所以x^2-10=3x
x^2-3x-10=0
(x-5)(x+2)=0
x=5,x=-2
真数大于0,x^2-10>0,x>0
所以x=5