If in an AP, `t_1 = log_10 a, t_(n+1) = log_10 b and t_(2n+1) = log_10 c` then `a, b, c` are in

log_10⁡ a + log_10 ⁡b = log_10⁡ (a+b)

If a,b,c are in GP then log_(10)a, log_(10)b, log_(10)c are in

Let alpha = log_10 15 and beta = log_10 16, a set A = {log_10 1, log_10 2,.....,log_10 50} then find the number of elements in set A which can be written in the form of aalpha + b beta + c=0 where a,b,c are in rational numbers.

If log_10 2, log_10(2^x- 1) and log_10(2^x+3) are in A.P., then find the value of x.

If a,b,c are in G.P.then log_(a)10,log_(b)10,log_(c)10 are in