Question

Choose the correct option.
In which of the given series will log A. log B and log C be, if it is given that A B C are in Gp

Answer 1

Answer:

The correct answer is “Option A”.

Step-by-step explanation:

Here a is the 1st term, b is the 2nd term and c is the 3rd term. Therefore, log a, log b, log c are in Arithmetic Progression. So, the correct answer is “Option A”.

Answer 2

Answer:

㏒ A, ㏒ B, ㏒ C are in AP

Step-by-step explanation:

Given that A, B  and C are in G.P

As per common ratio $\frac{B}{A} =\frac{C}{B}$

                                  B² =  AC

Apply ㏒ on both sides

                             ㏒ B² = ㏒ AC  

                          2 ㏒ B = ㏒ A + ㏒ C _(1)

Let's consider ㏒ A, ㏒ B and ㏒ C are in AP

As per common difference ㏒ B- ㏒A = ㏒C - ㏒ B

                                             ㏒ B + ㏒ B = ㏒ C + ㏒ A

                                             2 ㏒ B = ㏒ A + ㏒ C

Therefore, here we can say that ㏒ A, ㏒ B, ㏒ C are in AP