Here is another perspective of that great passage. His burden is light could mean it won't weigh you down. Or His burden is Light...like a light in the darkness. He asks for us to take on that burden of shining Light in the darkness.
Come to Me, all who labor and are heavy laden, and I will give you rest. Take My yoke upon you and learn from Me, for I am gentle and lowly in heart, and you will find rest for your souls. For My yoke easy and My burden is light.”-Matt.11:28-30