Question -
Answer -
It is given that a, band c are in G.P.
b2 = ac {usingproperty of geometric mean}
(b2)n = (ac)n
b2n =an cn
Now, apply log on both the sideswe get,
log b2n =log (an cn)
log (bn)2 = log an +log cn
2 log bn =log an + log cn
∴ log an,log bn, log cn are in A.P