Question

a^x=b,b^y=c,c^z=a then find xyz​

Answer 1

Given :

• aˣ = b
• bʸ = c
• cᶻ = a

Find :

• xyz

Solution :

Consider the equation :

• aˣ = b

⇻aˣʸᶻ = bʸᶻ

[ raising to the power yz on both sides ]

⇻aˣʸᶻ = (bʸ)ᶻ

⇻ aˣʸᶻ = (cᶻ) [ ∵ bʸ = c ]

⇻ aˣʸᶻ = cᶻ

⇻ aˣʸᶻ = a [ ∵ cᶻ = a ]

⇻ aˣʸᶻ = a¹

⇻ xyz = 1

∴ Hence, the Value of xyz is 1.

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