Question

If q^x = p, r^y = q and p^z = r, then find the value of xyz.

Answer 1

Given,
q^x = p
r^y = q
p^z = r.

Take the equation,
q^x = p.

Substituting value of q = r^y

Now the equation becomes ;

(r^y)^x = p

r^xy = p

Substituting r = p^z .

(p^z)^xy = p

p^xyz = p.

p^xyz = p¹

As bases are equal, equate the powers

xyz = 1 .

Therefore, Value of xyz is 1

Answer 2

putting p from 1st in 3rd
=> q^xz = r
putting q from 2nd
r^xyz= r
=> xyz=1