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Calculus Level 5

4cos⁡(ex)=2x+2−x\large 4\cos(e^{x})=2^{x}+2^{-x} Find the number of solutions of equation above.

You may use ln⁡(2π)<log⁡2(2+3)\ln(2\pi)<\log_2 (2+\sqrt{3}).

Yash Dev Lamba by Yash Dev Lamba
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