Logarithms Quiz Set 013

Advertisement


Your Score
Correct Answers:
Wrong Answers:
Unattempted:

Question 1

What is $1/{\text"log"_6(48)}$ + $1/{\text"log"_2(48)}$ + $1/{\text"log"_4(48)}$?

 A

$1$.

 B

4.

 C

12.

 D

0.

Soln.
Ans: a

The given expression simplifies to $\text"log"_48(6)$ + $\text"log"_48(2)$ + $\text"log"_48(4)$ = $\text"log"_48(6 × 2 × 4)$ = $\text"log"_48(48)$ = 1.


Question 2

Let us suppose that $\text"log"_3(4)$ = 4, then what is $\text"log"_4(3)$?

 A

$1/4$.

 B

$4$.

 C

$\text"log"_4(√4)$.

 D

5.

Soln.
Ans: a

From the theory of logarithms, we know that $\text"log"_4(3)$ = $1/{\text"log"_3(4)}$ = $1/4$.


Question 3

Suppose for the sake of this question that $\text"log"_4(5)$ = 10. Then what is $\text"log"_5(1024)$?

 A

1/2.

 B

$\text"log"_4(5)$.

 C

$\text"log"_5(4)$.

 D

2.

Soln.
Ans: a

$\text"log"_5(1024)$ is same as $\text"log"_5(4^5)$ = 5 × $\text"log"_5(4)$ = $5/{\text"log"_4(5)}$, which is same as $5/10$ = 1/2.


Question 4

What is x if logx(y) = 4 and log2(x) = 3?

 A

48.

 B

$√8$.

 C

$√{4/3}$.

 D

$√{3/4}$.

Soln.
Ans: a

By definition, log2(x) = 3 gives x = 23 = 8. We are also given logx(y) = 4, which gives y = 4x = 48.


Question 5

What is the value of log(4) + log(5)?

 A

log($4 × 5$).

 B

log($5 + 4$).

 C

log4(5).

 D

log5(4).

Soln.
Ans: a

log(mn) = log(m) + log(n) always.


buy aptitude video tutorials


Creative Commons License
This Blog Post/Article "Logarithms Quiz Set 013" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-04-07.

Posted by Parveen(Hoven),
Aptitude Trainer


Advertisement