The tens placed digit of the integral part of 48.392 is
1.1
2.2
4.4
5.5
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60
12
+60
−12
−60
−15
⇒ Intergal part of
′
x
′
will have 22 digits
Number of digits in intergal parts =?
So, (60)
12
+
(60)
12
1
−
(60)
15
1
for a shortcut method as we can see the major effect on the total of above expression will be given by (60)
12
So, let x=60
12
taking log of both rides we get
logx=12log60
=12(log2+log3+log10)
=12[0.3030+0.97771+1]
logx=21.3612
⇒x=(10)
21.3612
x≃2.2908×10
21
number of digits will be 22
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