India’s No.1 Educational Platform For UPSC,PSC And All Competitive Exam

Download Our App

If log 2 = 0.30103, the number of digits in 2⁶⁴ is:

118
219
320
421

Answer:- 1

Explanation:-

Solution:

\begin{aligned} \log (2^{64}) \\ = 64 \times \log 2 \\ = (64 \times 0.30103) \\ = 19.26592 \end{aligned}

$\eqalign{ & \log \left( {{2^{64}}} \right) \cr & = 64 \times \log 2 \cr & = \left( {64 \times 0.30103} \right) \cr & = 19.26592 \cr}$ Its characteristic is 19.
Hence, then number of digits in 2⁶⁴ is 20.

Workspace Report

Post your Comments

Its characteristic is 19.
Hence, then number of digits in 2⁶⁴ is 20. ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} \log (2^{64}) \\ = 64 \times \log 2 \\ = (64 \times 0.30103) \\ = 19.26592 \end{aligned}

$\eqalign{ & \log \left( {{2^{64}}} \right) \cr & = 64 \times \log 2 \cr & = \left( {64 \times 0.30103} \right) \cr & = 19.26592 \cr}$ Its characteristic is 19.
Hence, then number of digits in 2⁶⁴ is 20. ", "dateCreated": "7/24/2019 10:09:12 AM" } }

Test

Classes

E-Book