Question

prove that :
chapter - exponent​

Answer 1

given a ^x= b .........(i)

b^y= c..........(ii)

c^z=a..........(iii)

from any equation suppose let us take (i) we get,

(a)^x=b........(iv)

but now by putting the value of a from (iii) in (iv) we get,

(c)^z^x = b.........(v)

now by putting the value of c from (ii) in (v) we get,

(b)^y^z^x= b

therefore , comparing both sides we get ,

x*y*z= 1( proved)

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