Question

Ifn e N such that characteristic of n? to the base 8 is 2, then number of possible values of n is-
(A) 14
(B) 15
(C) 448
(D) infinite

Answer 1

Answer:

option C is correct please mark me as brain list

Answer 2

Answer:

The correct answer is 15.

Step-by-step explanation:

It is given in question that we have the deduce the value of n for which the characteristic of n in the given expression $log_{8} n^2$ is 2.

Since for any log, example, $log 12$ = 1.079. Here, = 1 + 0.079.

In this expression 1 is called characteristic. This has to be 2 according to the given question.

So, therefore, the value of expression should be between 2 and 3.

2 ≤ $log_{8}n^2$ < 3

Concept:[ $log_{a} b = c \\ b = a^c$]

$8^2$ ≤ $n^2$ < $8^3$

8 ≤ n < 16√2

8 ≤ n < 22.6

8 ≤ n < 23

All possible values of n = 23-8 = 15.

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