Question

$3$ numbers are in GP therefore, their logarithms are in

• A. GP
• B. HP
• C. AP
• D. None of these

Answer 1

The correct option is C AP

Let say $a,b,c$ are in GP

$\Rightarrow b^2=ac$
Taking $\log$ on both sides, we get
$2\log b=\log a+\log c$
$\Rightarrow \log b=\frac{\log a+\log c}{2}$
$\Rightarrow \log a,\log b,\log c$ are in AP.