If the input is x, find a and b from the following equation: x = a*2^b.
Hint: b is an integer while x and a are real numbers.
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.
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