find the number of digits in 4^2013, if log10^2=0.3010
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apply log in 4^2013
log4^2013=2013log4
2013*2log2
4026log2=4026*0.3010=1211.826=1212
add 1
1212+1=1213
total digits =1213
log4^2013=2013log4
2013*2log2
4026log2=4026*0.3010=1211.826=1212
add 1
1212+1=1213
total digits =1213
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