Question

if a, b, c are in GP prove that log a, log b Log c are in AP

Answer 1

If a,b,c are in GP so =ac
b/a=c/b.....(i)

now

log a - log b= log a/b;
and according to equ(i)
log b/a=log c/b
means
log b - log a =log c - log b
2 log b =log a + log c
hence they are in AP