Use o específico do MySQL :
SHOW TABLES
...ou use o padrão ANSI, INFORMATION_SCHEMA.TABLES :
SELECT table_name,
table_schema AS dbname
FROM INFORMATION_SCHEMA.TABLES
WHERE table_name='searched table name'
SHOW TABLES
SELECT table_name,
table_schema AS dbname
FROM INFORMATION_SCHEMA.TABLES
WHERE table_name='searched table name'
