Please post the COMPLETE problem. There may be different interpretations for different values of the parameters.How would you solve for x,y,z in the equation a^x + b^y = c^z, given that you have 3 equations and all values for a,b,c? Augmented matrix taking the logs of all 3 equations? Something like xlog(a)+ylog(b)-zlog(c)=0 for setting up the matrix?
I apologize if this is in the wrong thread. I am new and wasn't sure where it should go.
That will NOT work for most of the cases.xlog(a)+ylog(b)-zlog(c)=0
Here is my system of equations:Please post the COMPLETE problem. There may be different interpretations for different values of the parameters.
That will NOT work for most of the cases.
If I this was my assignment, I would first note that 10^y is in every equation. So I will use subtraction to reduce this system to 2 unknowns.Here is my system of equations:
9.6^x + 10^y = 0.999375374^z
7.4^x + 10^y = 0.966833043^z
4.2^x + 10^y = 0.767117458^z
What I need to do is determine if constant values for x,y,z exist. And if they do, what are their values? However I am not asking to have it solved for me. I'm just asking how I go about solving a problem like this.