Question

If the numbers be in G.P., then their logarithms will be in

• A. A.P
• B. G.P
• C. H.P
• D. None of these

Answer 1

The correct option is A

A.P

Let three number a,b and c in G.P., then $b^2$ = ac

$\Rightarrow 2lo{g}_{d}b$ = $lo{g}_{d}a+lo{g}_{d}c$ or $lo{g}_{d}b$ = $\frac{lo{g}_{d}a+lo{g}_{d}c}{2}$

Thus their logarithms are in A.P.