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100a = 90,909...
100a-a = 90,909... - 0,90909...
99a = 90
a = 90/99 = 10/11
b = 1,21 = 121/100 = (11/10)²
alogb = 10/11 log (11/10)²
= 10/11 log (10/11)^-2
= -2