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Solve a Trigonometric Equation : cos(5x)cos(7x)cos(11x)=3 / (sqrt3)

Cos(5x)cos(7x)cos(11x)=3 / (sqrt3)
How is this problem done?

I don't need an exact answer as much as I need the steps leading up to the answer. Calculators aren't permitted so maybe that'll help?

Solution Summary

A trigonometric equation is solved. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.