Logarithms Quiz Set 014 | Maths Aptitude Quiz Questions and Mock Test on Logarithms Set 14 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

What is x if log_x(y) = 5 and log₂(x) = 3?

5⁸.

$√8$.

$√{5/3}$.

$√{3/5}$.

Soln.
Ans: a

By definition, log₂(x) = 3 gives x = 2³ = 8. We are also given log_x(y) = 5, which gives y = 5^x = 5⁸.

Solution | Discuss! | Chapters»

Question 2

Which of these is correct?

$\text"log"_6(2)$ = $1/{\text"log"_2(6)}$.

$\text"log"_2(2)$ = 2.

$\text"log"_5(5)$ = 25.

$\text"log"(6 + 2 + 5)$ = $\text"log"(60)$.

Soln.
Ans: a

Speaking factually, $\text"log"_m(n)$ = $1/{\text"log"_n(m)}$, hence the answer. Expressions of the form $\text"log"_m(n) = p$ are same as m^p = n. We can see that none of the options makes it correct. Also, log(m + n + p) = log(m × n × p) is possible only if m × n × p = m + n + p.

Solution | Discuss! | Chapters»

Question 3

Which of these is correct?

$\text"log"_4(1)$ = 0.

$\text"log"_7(7)$ = 7.

$\text"log"_2(2)$ = 4.

$\text"log"(4 + 7 + 2)$ = $\text"log"(56)$.

Soln.
Ans: a

Speaking factually, $\text"log"_m(1)$ = 0 because m⁰ = 1 always, hence the answer. Expressions of the form $\text"log"_m(n) = p$ are same as m^p = n. We can see that none of the options makes it correct. Also, log(m + n + p) = log(m × n × p) is possible only if m × n × p = m + n + p.

Solution | Discuss! | Chapters»