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how we find the solution: eqn=7.5/(1​+2*laguerr​eL(x*1.2*s​qrt(.7143/​2)/2-1,sqr​t(2*.7143)​*x)/laguer​reL(x*1.2*​sqrt(.7143​/2)/2,-1,s​qrt(2*.714​3)*x))==x;

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syms x R=1; l_s=0.1; a=1/(R^2+4*l_s*R); b=(R^2+2*l_s*R); a_1=(1-l_s)/(sqrt(2*a)*l_s); eqn=7.5/(1+2*laguerreL(x*1.2*sqrt(.7143/2)/2-1,sqrt(2*.7143)*x)/laguerreL(x*1.2*sqrt(.7143/2)/2,-1,sqrt(2*.7143)*x))==x; eqn = rewrite(eqn,'log'); solx = solve(eqn, x, 'IgnoreAnalyticConstraints',1) pretty(solx)

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