Statement 1: If N =((1/0 ⋅ 4))20, then N contains 7 digits before decimal ( log 2=0.3010 ). Statement 2: Characteristic of the logarithm of N to the base 10 is ' 7 '.

Question

Statement 1: If N =((1/0 ⋅ 4))20, then N contains 7 digits before decimal ( log 2=0.3010 ). Statement 2: Characteristic of the logarithm of N to the base 10 is ' 7 '. (A) Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1. (B) Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1. (C) Statement-1 is true, statement-2 is false. (D) Statement-1 is false, statement-2 is true.

Tardigrade Admin · Accepted Answer

N =((10/4))20 log N=20(1- log 4) =20(1-2(0.3010)) =20(1-0.6020)=20(0.398)=7.96 text Number of digits in N=7+1=8

Q. Statement 1: If $N = (\frac{1}{0 \cdot 4})^{20}$ , then $N$ contains 7 digits before decimal $(lo g 2 = 0.3010$ ).
Statement 2: Characteristic of the logarithm of $N$ to the base 10 is ' 7 '.

Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.

Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1.

Statement-1 is true, statement-2 is false.

Statement-1 is false, statement-2 is true.

$N = (\frac{10}{4})^{20}$
$lo g N = 20 (1 - lo g 4)$
$= 20 (1 - 2 (0.3010))$
$= 20 (1 - 0.6020) = 20 (0.398) = 7.96$
$Number of digits in N = 7 + 1 = 8$

Q. Statement 1: If N=(0⋅41​)20, then N contains 7 digits before decimal (log2=0.3010 ). Statement 2: Characteristic of the logarithm of N to the base 10 is ' 7 '.