Question

If x^a=y , y^b =z , z^c=x, then prove that abc =1

Answer 1

given,
xᵃ = y...........(1)
yᵇ = z..........(2)
z^c = x.........(3)
put (1) in( 2),
we get,
(xᵃ)ᵇ = z
x ᵃᵇ = z.......(4)
put (4) in (3)
(xᵃᵇ)^c = x
x^ abc =  x
therefore , abc = 1
since , when bases are same , powers are also same

Answer 2

Step-by-step explanation:

see the pic

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