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## Main Question or Discussion Point

Hello all

Can anybody see a way to analytically find x in the expression:

cos(x) = exp(-2x)

By inspection x=0 is obvious, and numerically we find x=1.5232 is also a solution, but is there a way to find these values by rearranging the above expression? It's one of those that looks simple but isn't, any ideas?

Many thanks

Can anybody see a way to analytically find x in the expression:

cos(x) = exp(-2x)

By inspection x=0 is obvious, and numerically we find x=1.5232 is also a solution, but is there a way to find these values by rearranging the above expression? It's one of those that looks simple but isn't, any ideas?

Many thanks