If `log 2, log (2^n-1) and log (2^n + 3)` are in AP, then n =

If log2,log(2^n-1) and log(2^n+3) are in A.P. then n =

If log2,log(2^(n)-1) and log(2^(n)+3) are in A.P.then n=

Suppose a,b,c gt 1 and n in N, n ge 2 . If log_(a)(n),log_(b)(n),log_(c )(n) are in A.P., then log_(a)b+log_(c )b =

Prove log a + log a^(2) + "log" a^(3) +……..+ log a^(n) = (n (n + 1))/(2) log a

Let log x= 2m - 3n and log y = 3n - 2m Find the value of log (x^(3) /y ^(2)) in terms of m and n.

If log_lx,log_mx,log_nx are in AP where x ne 1 and x is positive, prove that n^2=(ln)^(log_lm) .