Question

`"Why do they say the stronger the acid, the stronger the conjugate base?"`

Answer 1

Presumably, they simply made a mistake. Are you sure they didn't say, `"the weaker the acid, the stronger the conjugate base"`?

Explanation:

As you know, `pK_a` and `pK_b` are logarithmic functions, and are defined by the relationships, `pK_a=-log_(10)K_a`, `pK_b=-log_(10)K_b`.

Given this definition, it follows the smaller, that is the more negative, the `pK_a` value, the STRONGER the acid is. It is a bit counter-intuitive, and we have all made mistakes in interpretation.