Given the value of $\log n$, what is the value of $\log 2n$?

Question

I had the attached multiple choice question in an online practice exam. I'm not sure how to work this out.

Log Question

Is there anything on the exam to indicate that the logarithm is base $2$? — David Mitra, Jan 17 '13 at 13:42
It's a Computer Science Algorithm and Data Structure class so I would assume it's base 2 — mal, Jan 18 '13 at 09:34

score 5 · Answer 1 · edited Jan 17 '13 at 11:43

5

Use the property of the logs that says that $\log ab = \log a + \log b$. You get $\log 2n = \log 2 + \log n = 36.5 + \log 2$

edited Jan 17 '13 at 11:43

Stefan Hansen

answered Jan 17 '13 at 11:34

mathemagician

1 Answers1