How many digits will ab^c have? I know that the digits of b^c is calculated so: [c log_(10)b] +1 but what about ab^c ?

Audrey Arnold

Audrey Arnold

Answered question

2022-11-08

How many digits will a b c have?
I know that the digits of b c is calculated so:
c log 10 b + 1
but what about a b c ?

Answer & Explanation

Eva Cochran

Eva Cochran

Beginner2022-11-09Added 14 answers

Since log 10 x + 1 is the number of digits of x, where x is an integer,
it follows that log 10 a b c + 1 = log 10 a + c log 10 b + 1

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