*
a
*
and
*
b
*
satisfy the equations
$3^a = 14$
and
$14^b = 2187$
. What is the remainder when
*
ab
*
is divided by 7?

*
Note: This is a modified problem.
*

The answer is 0.

**
This section requires Javascript.
**

You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.

a=ln14/ln3 b=ln2187/ln14 ab=ln2187 base3 =7 remainder=0