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July 24th, 2018, 12:23 AM  #1 
Newbie Joined: Dec 2009 Posts: 8 Thanks: 0  One exponential equation
Equation 81^\sin^2 x+81^\cos^2 x=30 can easy be solved by substitution 81^\sin^2 x=t What about equation 81^\sin2x+81^\cos2x=30? I think it doesn't have real solutions. Last edited by skipjack; July 24th, 2018 at 12:50 AM. 
July 24th, 2018, 12:52 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,375 Thanks: 2010 
It seems to have real solutions. Why do you think it doesn't?


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equation, exponential 
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