Question

If a=b^x,b=c^y,c=a^z then find the value of x y z


(Step by step answer please!)

Answer 1

Answer:

Step-by-step explanation:

So here we have three equations:

ax=b;

by=c;

cz=a;

So how can we find xyz?

Here, let us do a change with the conditions we are provided.

I have ax=b but by=c. Therefore, (ax)y=c.

∴axy=c.

Again, we have,

cz=a

∴(axy)z=a

∴axyz=a

Now, we have same base on both the sides. So the powers can be compared.

∴xyz=1

Hence solved.