Louis xiv declared his goal was "one king, one law, one faith." analyze the methods the king used to achieve this objective and discuss the extent to which he was successful?

The answer is: He use different methods to achieved  them,  and yes, he was successful in implementing his goal.

Explanation:

One King--by acclaiming himself as a divine leader, building the palace of Versailles, and having an absolute Monarchy. He depicted himself as ancient Gods such as Jupiter, and he also had the nickname “Sun God”.  

He invited many nobles to live with him in his palace, that way Louis could keep an eye on the nobles so they couldn’t rebel. Versailles in a way would become the parliament, because that was where they discussed political and economic affairs.

One Law--by limiting the powers of nobles and with the unification of the military.  Louis’s model of state was absolutism (a system of government in which the ruler claims sole and incontestable power).

"L'État, c'est moi" ("I am the state"). To make sure his law policies’ passed and to make sure he had control, Louis regulated the French military and had a standing army by establishing one uniform and training method.

One Faith-- Louis believed that he reigned by divine right. The one religion he tolerated was Catholicism.  Perhaps the most serious change he made was the revocation of the Edict of Nantes, which allowed Huguenots (French Protestants 16- 17th century) the right to Worship and have general freedom of conscience .

One example of Louis enforcing “one religion” was when he persecuted the Jansenist, who were Catholics, but had doctrines and practices resembling some aspects of Protestantism.

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