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The equation does not correlate to this:
Y = axb
Where Y = cumulative average time per unit to produce x units
a = the time taken for the first unit of output
x = the cumulative number of units produced
b = the index of learning (log LR/log2)
LR = the learning rate as a decimal
and the question asked to find LR
The formula is not Y = axe, it is = ax^b
When asked to find the learning rate you cannot be expected to use the formula (because with regard to b it would involves using antilogs and they are not in the syllabus).
Finding the learning rate will only ever involve using the doubling rule and I explain this, with examples, in my free lectures on learning curves.