No. Log tables are not allowed in jee.... although the questions don't need typical calculation but still U need to know the basic log values like log 2,3 ,4,5,6,7..

If the calculation is very tough(for eg. e^-2, then the value will be given in the question itself ... Just go through the previous year papers... U ll know it better

No ,log tables are not allowed in any exam.Calculation are not lengthy in jee.for log values only memorize  the values of log3,log2,log7 etc other values you can calculate from these.eg log4=2log2 , log5=1-log2 , log15=log3+log5 and so on.

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