If $x, \log_{10}(x) , \log_{10}\log_{10}(x)$ are in arithmetic progression, find the range of $x.$
(a) $0 < x < 1$
(b) $1 < x < 10$
(c) $10 < x < 100$
(d) $100 < x < 1000$
I have found the answer but I want a solution using logic without graph.
If $x, \log_{10}(x) , \log_{10}\log_{10}(x)$ are in arithmetic progression, find the range of $x.$
(a) $0 < x < 1$
(b) $1 < x < 10$
(c) $10 < x < 100$
(d) $100 < x < 1000$
I have found the answer but I want a solution using logic without graph.