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If $\ln(2\pi)<\log_2(2+\sqrt{3})<\ln(3\pi)$, then find number of roots of the equation $$4\cos(e^x)=2^x+2^{-x}$$
jacks said:If $\ln(2\pi)<\log_2(2+\sqrt{3})<\ln(3\pi)$, then find number of roots of the equation $$4\cos(e^x)=2^x+2^{-x}$$