Log3+log9+log27+log81+ Question: how many terms of the section log2187?

7th term.

Step-by-step explanation:

The given series is

We need to find the number of term log 2187.

Here, terms inside the log are 3, 9, 27, 81, ... are in G.P.

First term = 3

Common ratio

nth term of a G.P. is

where, a is first term and r is common ratio.

Divide both sides by 3.

On comparing both sides, we get

Since 7th term of the G.P. 3, 9, 27, 81, ... is 2187, therefore, 7th term of is log 2187.

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