MCQ
If ${\log _a}x,\;{\log _b}x,\;{\log _c}x$ be in $H.P.$, then $a,\;b,\;c$ are in
- A$A.P.$
- B$H.P.$
- ✓$G.P.$
- DNone of these
$ \Rightarrow $$\frac{{\log a}}{{\log x}},\;\frac{{\log b}}{{\log x}},\;\frac{{\log c}}{{\log x}}$ are in $A.P.$
$ \Rightarrow $${\log _x}a,\;{\log _x}b,\;{\log _x}c$ are in $A.P.$
$ \Rightarrow $$a,\;b,\;c$ are in $G.P.$
Note : Students should remember this question as a fact.
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