You can
put this solution on YOUR website!Did you just want to calculate this? If so just type it into a calculator "log", "log", 200:

= 0.3619 approximately.
If you care to try to understand the concept of like "log (log 200)", it means that you are taking the log of a log. To start out with an easier one and to try to put it in perspective, try

.
You already know

means "what power" would you have to raise 10 to in order to get 1000? The answer is clearly 3, right? So,

= 3.
Then

means

, which by calculator would be about 0.477.
See my Lesson Plans about Logarithms on algebra.com, or on my own website under "Math in Living Color" and then "College Algebra".
R^2 at SCC