How many digits would be in the product of 2x2x2x2x (30 times)?
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Answer:
10 Digits
Step-by-step explanation:
Let x = 2 ^ 30 ---------------- ( 2x2x2x2x (30 times))
Taking base 10 logarithm in both sides of equation
log x = log 2 ^ 30
log x = 30 log 2
log x around 30(0.3010)
log x around 9.030
log x = 0.03 + log 10 ^ 9
It means x = A x 10 ^ 9, letting A represents a number that belongs in a Real Number Set
Example if there is 2 x 10 ^ 2 it equals 200 which has 3 digits
3.4 x 10 ^ 3 = 3400 which has 4 digits
it means that A x 10 ^ n will have n + 1 digits
## x will have 9 + 1 = 10 digits
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