solving a equation involving exponentials

solve sinh (x)=0.5
 (eˣ - e⁻ˣ)/2 =0.5                   hyperbolic functions
so that eˣ - e⁻ˣ =1

 now solve eˣ - e⁻ˣ = 1

multiply with eˣ

make it into a quadratic in eˣ

solve using quadratic fomula to find the value of eˣ

take natural logarithm to find x

 

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