solve the system x+y+z=a;x+y+v=b;z+z+v=c;y+z +v=d.
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If a^x=b, b^y=c, c^z=a, what is xyz?
ax=b → (i)
by=c → (ii)
cz=a → (iii)
Using (i) and (ii), we can write
axy=c → (iv)
Using (iii) and (iv), we get
axyz=a1 [Since, a1=a]
or, xyz=1 [Since the bases are equal, the powers will be equal as well]
Hope it helps! :)
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