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How to solve equation q=k*Q^n for unknown k and n, with two known values of q and Q?

We need two equations, right? If we determine the different values for q and Q, then we solve them by solving for K in one equation and then substitute it into the 2nd equation. We can then take the log of both sides to isolate n in order to solve for it.

Great question, Ahmed; however, I know you know the answer--I read your profile.

I have a question for you: If q and Q are respectively the same in each of the 2 equations then do you think there would be a solution if we include the complex numbers? For example, if q = 3 in each equation, and Q = 7 in each equation, then could we come up with answers for K and n in the complex numbers?Thanks Caleb DRC for the answer. I usually ask question because this you know different other approaches, and sometimes simpler,to solve the problem. Answer to your Q. is, if q and Q are same in both equations i.e 3 and 5. The k and n both will be 1.

To those who are good with this stuff--my congratulations.

However, this is why I got a D in college algebra and failed trig--just not my cup of tea.Not everything is cup of tea for everyone. Like Journalism is not mine. Good luck with what you are good at. As I think dealing with social sciences is much more complex and unpredictable than with laws of physics and mathematics.

My problem with physics and mathematics is that the teachers could never give me a real application to solve. My algebra skills developed better when I began working. Sines, cosines and logarithms still leave me clueless. Wish I understood better.

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