Question

If $a,b,c$ are in GP, then $\log a,\log b,\log c$ are in

• A. AP
• B. GP
• C. HP
• D. None

Answer 1

The correct option is A AP

Given $a,b,c$ are in GP

$\therefore b^2=ac$

Taking $\log$ on both sides, we get

$2\log b=\log ac$

$\Rightarrow 2\log b=\log a+\log c$

which implies that $\log a,\log b,\log c$ are in AP.