Question

Find the number of digits in 3^40 x 2^80​

Answer 1

Answer:

The answer is 44

Step-by-step explanation:

Concept : Number of digits of a natural number N is $1+$ integral part of $\log N$

Let $N=3^{40}\times 2^{80}$

$\Rightarrow \log N=\log (3^{40}\times 2^{80})=\log 3^{40}+\log 2^{80}$

             $=40\log 3+80 \log 2=40(0.477)+80(0.301)=43.16$

Thus number of digits $=43+1=44$