Greetings, I have an equations that needed to be proved.
3^x = 4^y = 12^z
show that z = (xy)/(x+y) from the above equation

Greetings, I have an equations that needed to be proved.
3^x = 4^y = 12^z
show that z = (xy)/(x+y) from the above equation
This is pretty clearly homework. We won't do your work for you.Originally Posted by TzerMaan
You have also neglected the solution x=y=z=0.
i hope its not homework, so having that said, i will help you.
you have to make use of logarithms.
so you have two equations,
so taking log, (i assume you have knowledge in logarithms)
xlog3=ylog41
ylog4=zlog122
now if we see equation 2, it becomes;
now we know that log3=ylog4/x
so if we substitute this in to equation2,
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