Logarithms Quiz Set 017 | Maths Aptitude Quiz Questions and Mock Test on Logarithms Set 17 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

**Your Score**
Correct Answers:
Wrong Answers:
Unattempted:

Question 1

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

${9/25}$.

${3/5}$.

$√{3/5}$.

$√{5/3}$.

Soln.
Ans: a

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

Solution | Discuss! | Chapters»

Question 2

What is log$4$ + log$1/4$?

$\text"log"_3(4)$.

$\text"log"_4(3)$.

1/2.

Soln.
Ans: a

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

Solution | Discuss! | Chapters»

Question 3

What is the value of log₂(128)?

$√7$.

$√128$.

Soln.
Ans: a

Let log₂(128) = P. By definition, we have 2^P = 128 = 2⁷, which gives 7 as the answer.

Solution | Discuss! | Chapters»

Question 4

What is P if $\text"log"_5(4)$ + $\text"log"_5(4P + 1)$ = 1 + $\text"log"_5(P + 4)$?

$1{5/11}$.

$2{7/10}$.

${5/13}$.

$3{10/13}$.

Soln.
Ans: a

We have $\text"log"_5(4)$ + $\text"log"_5(4P + 1)$ = $\text"log"_5(5)$ + $\text"log"_5(P + 4)$. It is same as $\text"log"_5(4 × (4P + 1))$ = $\text"log"_5(5 × (P + 4))$. Equating the logs, $4 × (4P + 1) = 5 × (P + 4)$, solving for P we get P = $1{5/11}$.

Solution | Discuss! | Chapters»