There actually was no other context stated, this is the question as put, and the only context is around where dB and P are defined as above as following the guidelines. It was amongst other log questions, and does not follow any other context. I have given as much as I can or know.

So when dB is replaced by 3dB how do you progress from there given it is a logarithmic scale?

The "context" I referred to was

*your *context, which you provided subsequently: "It is not an assignment, it is just one question that a few people have approached in different ways. I want to see how others would approach the solution ." In the

guidelines summary, we ask you to tell us where a problem comes from, and what questions you have about it, so we know what sort of help you need. In this case, you were looking for alternative solutions.

On the other hand, it appears that you

*don't* have a solution, but are in fact asking how to proceed. That has been answered in part by JeffM (and in part by what I said). If you are having trouble carrying this out, it would be appropriate to show what steps you have tried. I will tell you that this problem is a good example where you just have to start doing something without being sure where you will end up -- a little boldness is needed. If you try solving for P, you will eventually discover what kind of answer can be given (which turns out to be a ratio, but you may not know that until you work through it).

So, please give it a try. Following JeffM's approach, you have d = 10log_10(P*10^16) ; how can you start to isolate P? You might first divide both sides by 10; then undo the logarithm in any of several ways (generally involving its inverse, an exponential function), and continue from there. Presumably you have learned how to solve log equations; this may have a different feel than others you've done, so let us know where questions arise as you work on it.