How many digits are there in 3^10
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You can try and estimate the rough value of 3^16
3^16 = 9^8
10^8 will be 9 digits (1 followed by 8 zeroes)
9^8 is a value that is a little smaller than 10^8, so it will be 8 digits.
Another approximation could be
3^16 = 81^4
80^4 = 8^4*10000 = 40960000, which is 8 digits
81^4 will be a little bigger than 80^4, so it will be 8 digits.
Method 2: Using Logarithm
Log (3) = 0.4771
Log (3^16) = 16 Log(3) = 16*0.4771 = 7.6336
So, the number of digits in 3^16 will be 7 + 1 = 8
If Log (x) = a.bcde, x will have a + 1 digits.
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