Question

the number of digits in 81^24 is

Answer 1

Concept:

A positional numeral system uses a single sign, the numerical digit, either individually or in combination to represent numbers. The term "digit" refers to the ten symbols of the conventional base-$10$ numeral system, or decimal digits, which the ten digits of the hands correspond to. A digit is a part of a set that, when taken as a whole, makes up a numeration system.

Given:

We have been given that the number is $81^{24}$.

Find:

We have to find the number of digits present in  $81^{24}$.

Solution:

According to the problem.

let $x=81^{24 }$

Now,

$log_{10}81^{24}\\ = > 24log_{10}81\\= > 24*1.9084\\= > 45.80$

So the number of digit will be $(45+1)=46$.

hence, the correct answer of the question is $46$.

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