Question

a^x = b , b^y = c , c^z = a.
Prove that xyz = 1

Answer 1

ax=b => x=logab

ax=b => x=logabby=c=> y=logbc

ax=b => x=logabby=c=> y=logbccz=a=> z=logca

ax=b => x=logabby=c=> y=logbccz=a=> z=logcaxyz=(logab.logbc).logca

ax=b => x=logabby=c=> y=logbccz=a=> z=logcaxyz=(logab.logbc).logca=logac.logca

ax=b => x=logabby=c=> y=logbccz=a=> z=logcaxyz=(logab.logbc).logca=logac.logca=logaa

ax=b => x=logabby=c=> y=logbccz=a=> z=logcaxyz=(logab.logbc).logca=logac.logca=logaa=1

ax=b => x=logabby=c=> y=logbccz=a=> z=logcaxyz=(logab.logbc).logca=logac.logca=logaa=1Thanks & Regards

Aman

❤❤Rahul ❤❤