2007-07-08 01:50:06 · 4 answers · asked by CPUcate 6 in Science & Mathematics ➔ Mathematics
26. It equals:
37,589,973,457,545,958,193,355,601
If you don't have a calculator which will do that, you can take the log (base-10) of 19, and multiply that value by 20:
log(19^20) =
20 * log(19) =
20 * 1.279 =
25.575
Since the log of 19^20 is slightly over 25, it means that the answer is slightly over 10^25. 10^n has n+1 digits, so you know the answer has 25+1 = 26 digits.
2007-07-08 01:55:16 · answer #1 · answered by McFate 7 · 1⤊ 0⤋
19^20 has 20 digits
2007-07-08 10:53:25 · answer #2 · answered by Anonymous · 0⤊ 0⤋
26
Because....the logarithm of 19^20 = 25.565 (approx),
so there are 26 digits.
(which is the same as 20*log(19))
2007-07-08 08:55:16 · answer #3 · answered by Mr. me 2 · 1⤊ 0⤋
Just as Mr. me says, the way to find out the number of digits is by the formula
F(n) = log[base 10](n) , rounded up
"Rounding up" is the same as the ceiling function, so the formula would be
F(n) = ceiling (log(n))
log(19^20) is the same as 20 log(19), which is approximately equal to 25.57. Therefore,
F(19^20) = ceiling ( log(19^20) )
= ceiling ( 20 log(19) )
= ceiling (25.57)
= 26
26 digits.
2007-07-08 09:15:40 · answer #4 · answered by Puggy 7 · 0⤊ 1⤋