Correct Answers: | |
Wrong Answers: | |
Unattempted: |
Question 1
What is P if $\text"log"_5(4)$ + $\text"log"_5(4P + 1)$ = 1 + $\text"log"_5(P + 4)$?
$1{5/11}$.
$2{7/10}$.
${5/13}$.
$3{10/13}$.
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 = $1{5/11}$.
Question 2
What is P if $\text"log"_5(4)$ + $\text"log"_5(4P + 1)$ = 1 + $\text"log"_5(P + 4)$?
$1{5/11}$.
$2{7/10}$.
${5/13}$.
$3{10/13}$.
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 = $1{5/11}$.
Question 3
Which of these is correct?
$\text"log"_4(1)$ = 0.
$\text"log"_6(6)$ = 6.
$\text"log"_2(2)$ = 4.
$\text"log"(4 + 6 + 2)$ = $\text"log"(48)$.
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 mp = 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.
Question 4
What is ${\text"log"(√3)}/{\text"log"(3)}$?
Question 5
What is the value of log(5) - log(3)?
This Blog Post/Article "Logarithms Quiz Set 009" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2020-02-07. Published on: 2016-05-08