Logarithms Quiz Set 010 | Maths Aptitude Quiz Questions and Mock Test on Logarithms Set 10 | 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 the value of log(6) + log(7)?

log($6 × 7$).

log($7 + 6$).

log₆(7).

log₇(6).

Soln.
Ans: a

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

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Question 2

Which of these is correct?

$\text"log"(1 + 2 + 3)$ = $\text"log"(1 × 2 × 3)$.

$\text"log"_4(4)$ = 4.

$\text"log"_6(6)$ = 36.

$\text"log"_8(1)$ = 8.

Soln.
Ans: a

Speaking factually, log(m + n + p) = log(m × n × p) is possible only if m × n × p = m + n + p, hence the answer, because 1 × 2 × 3 = 1 + 2 + 3. Expressions of the form $\text"log"_m(n) = p$ are same as m^p = n. We can see that none of the other options makes it correct.

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Question 3

Let us suppose that $\text"log"_7(2)$ = 2, then what is $\text"log"_2(7)$?

$1/2$.

$2$.

$\text"log"_2(√2)$.

Soln.
Ans: a

From the theory of logarithms, we know that $\text"log"_2(7)$ = $1/{\text"log"_7(2)}$ = $1/2$.

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Question 4

Which of these is correct?

$\text"log"_3(1)$ = 0.

$\text"log"_8(8)$ = 8.

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

$\text"log"(3 + 8 + 2)$ = $\text"log"(48)$.

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»