If [N] = the greatest integer less than or equal to N, then [log10 6730.4] is equal toa)6b)4c)5d)None of theseCorrect answer is option 'D'. Can you explain this answer?

Question

Answer

Its answer will be 3.So option D is correctIf any number is in the form of [log(base 10)(x)], Then count the number of digits in x and answer will be x-1.

Answer

Explanation:

The greatest integer less than or equal to N is denoted by [N].

Now, we need to find [log10 6730.4].

First, we can estimate the value of log10 6730.4 using the fact that log10 10 = 1, log10 100 = 2, log10 1000 = 3, etc.

Since 6730.4 is between 1000 and 10000, we know that log10 6730.4 is between 3 and 4.

To determine the greatest integer less than or equal to log10 6730.4, we need to determine if log10 6730.4 is closer to 3 or 4.

We can do this by examining the digits after the decimal point in log10 6730.4.

log10 6730.4 = 3.8288...

Since the first digit after the decimal point is greater than or equal to 5 (i.e. 8), we know that log10 6730.4 is closer to 4 than 3. Therefore, [log10 6730.4] = 4.

Therefore, the correct answer is option D, none of these.

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