Prove: `log_b b = 1`

Prove: log_b b^x=x

Prove: log_b1 = 0

log_x (a/b) =….

Prove that log_(a)xy=log_(a)x+log_(a)y.

If x^2 + y^2 = 10xy , prove that 2 log (x + y) = log x + log y + 2 log 2 + log 3 .

If a,b, and c are in G.P., with 1 lt a lt b lt x and n gt 1 is an integer then find the sequence formed by log_a n,log_b n,log_c n ……….

If log a, log b, log c are in A.P. then a,b,c are