if A=log 189base13 and B=log521base23 then which is greater?
can be written as
We try A = 1, 2, and 3
First we try A=1
No, 1 is too small for A.
So we try A=2
No, 2 is still too small for A.
So we try A=3
No, 3 is too large for A.
So now we know that A is between 2 and 3.
can be written as
We try B = 1, 2, and 3
First we try B=1
No, 1 is too small for B.
So we try B=2
No, 2 is too large for B.
So now we know that B is between 1 and 2.
Since we know that A is between 2 and 3, and
we know that B is between 1 and 2, and --
we know that a number between 2 and 3 is greater
than a number between 1 and 2.
So which is greater, A or B? You answer!
Edwin
