Question

If $a,b,c$ are in G.P., then $loga$, $logb$ and $logc$ are in?

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

Answer 1

The correct option is A A.P.

Since $a,b,c$ are in G.P.
$\Rightarrow b^2=ac$
On taking log both sides, we get
$log\left(b^2\right)=log\left(ac\right)$
$\Rightarrow 2logb=loga+logc$
$\Rightarrow loga,logb,logc$ are in A.P
Hence, Option A is correct.