If A is the number of integers, the logarithm of whose reciprocal to the base 4 have characterstic -3 , then the value of A is equal to

Question

If A is the number of integers, the logarithm of whose reciprocal to the base 4 have characterstic -3 , then the value of A is equal to (A) 192 (B) 48 (C) 49 (D) 193

Tardigrade Admin · Accepted Answer

-3 ≤ log 4((1/N))<-2 ⇒ -3 ≤- log 4 N <-2 ⇒ 2< log 4 N ≤ 3 ⇒ 16< N ≤ 64 A =64-16=48

Q. If $A$ is the number of integers, the logarithm of whose reciprocal to the base 4 have characterstic -3 , then the value of $A$ is equal to

192

48

49

193

$- 3 \leq lo g_{4} (\frac{1}{N}) < - 2$
$\Rightarrow - 3 \leq - lo g_{4} N < - 2$
$\Rightarrow 2 < lo g_{4} N \leq 3$
$\Rightarrow 16 < N \leq 64$
$A = 64 - 16 = 48$

Q. If A is the number of integers, the logarithm of whose reciprocal to the base 4 have characterstic -3 , then the value of A is equal to

192

48

49

193

−3≤log4​(N1​)<−2 ⇒−3≤−log4​N<−2 ⇒2<log4​N≤3 ⇒16<N≤64 A=64−16=48

Q. If $A$ is the number of integers, the logarithm of whose reciprocal to the base 4 have characterstic -3 , then the value of $A$ is equal to

$- 3 \leq lo g_{4} (\frac{1}{N}) < - 2$
$\Rightarrow - 3 \leq - lo g_{4} N < - 2$
$\Rightarrow 2 < lo g_{4} N \leq 3$
$\Rightarrow 16 < N \leq 64$
$A = 64 - 16 = 48$