Find the no of digits in 4^2013 if log2 base 10=0.3010
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4^2013
log2 base 10= 0.3010
let x= 4^2013
x=2^2^2013
x=2^4026
Taking log both the sides
logx = log 2^4026
logx= 4026 log 2
logx=4026 × 0.3010
log×=1211.826 ( 1211 :characteristics, 826:Mantissa)
No.of digits =characteriatics +1
=1211+1
=1212 is ur answer
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