The solutions to this equation are not unique. Based on the requirements given there is an entire solution space for each possibility. For example 1.024E4*2^-10 = 10 but that is not a valid answer. Basically there is a degree of freedom issue here.
agree,solutions is way way more than one.
Brute-force on b, while looking for solutions with a restricted to the interval [-1,1] works. And I agree there is more than one solution. The author should specify what is the interval for valid solutions or accept more than one valid answer (which is easy to verify).
Is my wife right? Now with even more wrong husband
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