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Math Help - Application of the MVT?

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    Application of the MVT?

    Show that the equation ln(1+e^x) = cos(x) has infinitely many negative solutions. Is there a positive solution? Is it unique?
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    Quote Originally Posted by DaRush19 View Post
    Show that the equation ln(1+e^x) = cos(x) has infinitely many negative solutions. Is there a positive solution? Is it unique?
    Have you looked at the graph of the two functions? That will tell you a lot.
    Note that x<0 implies 0<\ln(1+e^x)<1.
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