Logarithms Quiz Set 008

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Question 1

Let us suppose that log(5) = 3, then what is log($1/50$) if the base is 10?

 A

-4.

 B

$\text"log"_3(50)$.

 C

$\text"log"_5(30)$.

 D

4.

Soln.
Ans: a

We know log($1/{10m}$) = log(1) - (log(10) + log(m)) = 0 - (1 + 3) = -4.


Question 2

Let us suppose that log(3) = 4, then what is log($1/30$) if the base is 10?

 A

-5.

 B

$\text"log"_4(30)$.

 C

$\text"log"_3(40)$.

 D

5.

Soln.
Ans: a

We know log($1/{10m}$) = log(1) - (log(10) + log(m)) = 0 - (1 + 4) = -5.


Question 3

What is x if logx$(3/5)$ = $1/2$?

 A

${9/25}$.

 B

${3/5}$.

 C

$√{3/5}$.

 D

$√{5/3}$.

Soln.
Ans: a

logx$(3/5)$ = $1/2$, by definition, gives $x^{1/2}$ = $3/5$. So x = $(3/5)^2$ = ${9/25}$.


Question 4

What is log$7$ + log$1/7$?

 A

0.

 B

$\text"log"_3(7)$.

 C

$\text"log"_7(3)$.

 D

1/2.

Soln.
Ans: a

log(m) + log(1/m) = log (m × $1/m$) = log 1 = 0.


Question 5

What is the value of log(5) + log(6)?

 A

log($5 × 6$).

 B

log($6 + 5$).

 C

log5(6).

 D

log6(5).

Soln.
Ans: a

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


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This Blog Post/Article "Logarithms Quiz Set 008" 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


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