According to the topic 2 a+b =? The answer is as follows:

Let a x = b y = 1994 z = m, then:

x=loga(m)=lgm/lga，

y=logb(m)=lgm/lab，

z = log 1994(m)= lgm/LG 1994，

1/x+ 1/y= 1/z

LGA/lgm+lgb/lgm = LG 1994/lgm

lga +lgb=lg 1994

lgab=lg 1994

ab = 1994 = 2 * 997 = 1 * 1994

When a= 1, b= 1994 or a= 1994, and b= 1, there must be a contradiction between z=0 and 1/z (denominator);

So: a=2, b=997, and 2a+b = 4+997 =1001;

Or: a=997, b=2, in which case 2a+b = 2 997+4;