Question

8.If x is a mean of first five natural numbers then find the value of log3 x.​

Answer 1

Answer:

1

Step-by-step explanation:

The first 5 natural numbers are 1, 2, 3, 4, 5.

According to statement,

x is the mean of 1, 2, 3, 4, 5.

Using Formula,

$\bf \:mean \: = \dfrac{sum \: of \: observations}{number \: of \: observations}$

$\bf\implies \:x = \dfrac{1 + 2 + 3 + 4 + 5}{5}$

$\bf\implies \:x = \dfrac{15}{5}$

$\bf\implies \:x = 3$

$\bf \:Now, \: log_{3}(x) Consider$

On substituting the value of x, we get

$\bf\implies \: log_{3}(3) = 1$

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$\bf \: note \: that : log_{x}(x) = 1$