Use pure logic and deductive reasoning only. Document detailed steps in arriving at final solution.
You can use calculator minimally.
$ Given$:
Utilizing These two unique set of Pan digital fractional relations, solve for all the digits. You can try solving first without helping hand from this U V C equation
U, V, C are 3 distinct digits..values can vary from 1 to 9.
CU is a concatenated number
$U^V x V^U$ = $CU$
$Unique $Set of $Pan digital $ $fractional $ and $Decimal Relationships:$
All the letters represent distinct digits(1 to 9).
All the words in both equations on either side represent concatenated Numbers
$BUGLOV$ / $ACE$ = $UBE$.$LOGVCA$
$OLAGEVB$ / $CU$ = $BUGVEL$.$OCA$