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2^150 has how many no.s.???
Option
45
46
47
48
Read Solution (Total 5)
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- let y=2^150
log y= 150 log2
log y=150*.301
log y=45.15
then required no. = 46 - 11 years agoHelpfull: Yes(13) No(1)
- 2^150= (2^3)^50=8^50
Now power of 8 contain same number of digits as the power.
( 8^1=8(1 digit) )
( 8^2=64(2 digit) )
& So on...........
So 2^50 has 50 numbers. - 11 years agoHelpfull: Yes(2) No(3)
- ans:48
2^150=2^25*2^25*2^25*2^25*2^25*2^25
2^25 has 8 digits
so 48 is the ans.. - 11 years agoHelpfull: Yes(1) No(4)
- Sorry above assumption provide correct result upto 8 ^ 10 ...... so 2 ^50 is probably not the right answer.....
@Yapadinne Raju
How you can mutiply to get 48?? - 11 years agoHelpfull: Yes(1) No(1)
- above expression can be written as (2^5)^30=32^30
32^1=32 has 2 digits
32^2=1024 has 4 digits
32^3=32768 has 5 digits
32^4=1048576 has 7 digits
32^5=33554432 has 8 digits
so for every even power 3 digits are increasing
so 32^30=46 digits - 11 years agoHelpfull: Yes(1) No(1)
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