Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

Which of these is correct?

**A**

$\text"log"_3(3)$ = 1.

**B**

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

**C**

$\text"log"_4(4)$ = 16.

**D**

$\text"log"(3 + 2 + 4)$ = $\text"log"(24)$.

**Soln.**

**Ans: a**

Expressions of the form $\text"log"_m(n) = p$ are same as m^{p} = n. We can see that if m = n, then p = 1 will make it correct. Also, log(m + n + p) = log(m × n × p) is possible only if m × n × p = m + n + p.

### Question 2

What is ${\text"log"(√6)}/{\text"log"(6)}$?

### Question 3

What is the value of log_{2}(16)?

### Question 4

What is P if $\text"log"_3(4)$ + $\text"log"_3(4P + 1)$ = 1 + $\text"log"_3(P + 4)$?

**A**

${8/13}$.

**B**

$1{3/4}$.

**C**

$2{4/15}$.

**D**

$3{2/15}$.

**Soln.**

**Ans: a**

We have $\text"log"_3(4)$ + $\text"log"_3(4P + 1)$ = $\text"log"_3(3)$ + $\text"log"_3(P + 4)$. It is same as $\text"log"_3(4 × (4P + 1))$ = $\text"log"_3(3 × (P + 4))$. Equating the logs, $4 × (4P + 1) = 3 × (P + 4)$, solving for P we get P = ${8/13}$.

### Question 5

Which of these is correct?

**A**

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

**B**

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

**C**

$\text"log"_7(7)$ = 49.

**D**

$\text"log"(8 + 5 + 7)$ = $\text"log"(280)$.

**Soln.**

**Ans: a**

Expressions of the form $\text"log"_m(n) = p$ are same as m^{p} = n. We can see that if m = n, then p = 1 will make it correct. Also, log(m + n + p) = log(m × n × p) is possible only if m × n × p = m + n + p.

### More Chapters | See All...

Statements and Assumptions | Blood Relations | HCF and LCM | Cubes and Dice | Analogies | Surds and Indices | Simple Interest | Deductive Reasoning | Clocks and Calendars | Basic Simplification | More...

This Blog Post/Article "Logarithms Quiz Set 002" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-08-12.