Find the number of digits in the number 16^25 when converted to base 4.

Question

Answer 1

16^25 = 4^50

We have to take the logarithm to the base 4 and add 1 to the characteristic to get the number of digits in the number.

log 4^50 to the base 4 = 50

So, number of digits = 51

Answer 2

16^25 = 4^50

We have to take the logarithm to the base 4 and add 1 to the characteristic to get the number of digits in the number.

log 4^50 to the base 4 = 50

So, number of digits = 51

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Find the number of digits in the number 16^25 when converted to base 4.