Evaluate log2 10 using the change of base formula. Round your answer to the nearest thousandth.

Mewster asked Aug 6, 2023

471,108 views

30 votes

Mewster asked Aug 6, 2023

2.7k points

Your comment on this question:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

Privacy: Your email address will only be used for sending these notifications.

4 votes

Take into account the following property:

$\log _ab=(\log b)/(\log a)$

Then, for the given expression you have:

$\log _210=(\log10)/(\log2)=(1)/(\log )\approx3.322$

Hence, the answer is approximately 3.322

Sebastian Vom Meer answered Aug 10, 2023

3.0k points

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

1.6m questions

2.0m answers