Find the sum of n terms of the series `log a + log (a^2/b) + log (a^3/b^2) + log(a^4/b^3)...`

The sequence log a, log a^2/b , log a^3/b^2 , ..... is

The sequence log a, log (a^(2)/b), log (a^(3)/b^(2)) is:

Find the sum of 'n' terms of the series. log_(2)(x/y) + log_(4)(x/y)^(2) + log_(8)(x/y)^(3) + log_(16)(x/y)^(4) +……..

Show that the sequence loga ,log((a^2)/b),log((a^3)/(b^2)),log((a^4)/(b^3)), forms an A.P.

The sum of the series log_(a)b+log_(a^(2))b^(2)+log_(a^(3))b^(3)+....log_(a^(n))b^(n)