Design an algorithm that will use simple arithmetic operations to estimate the base-2 logarithm of a given positive number. The algorithm should report the exact answer if it is an integer and otherwise state upper and lower bounds for it. For example, given the input 256 your algorithm should report 8, and given the input 81 your algorithm should report the logarithm lies between 6 and 7.

The only functions you may use are: len and range, note that you may not use slicing (AKA colons in your indicies). *We will not deduct for the use of str(), but you do not actually need it.

this must also take into consideration logbase2 of 0.005 which will return between -7 and -6