The number of real solution of equation ...

The number of real solution of equation `Sin(e^x) = 5^x + 5^(-x)` is :

Infinitely many

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Whenever the terms on the two sides of the equation are of different nature, then equations are known as Non standard form, some of them are in the form of an ordinary equation but can not be solved by standard procedures. Now standard problems require high degree of logic, they also require the use of graphs, inverse properties of functions, inequalities. On the basis of above information, answer the following questions: The number of real solutions of the equation sin(e^(x)) = 5^(x)+5^(-x) is

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