Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

What is the value of log(6) + log(7)?

### Question 2

Which of these is correct?

**A**

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

**B**

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

**C**

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

**D**

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

### Question 3

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

### Question 4

Which of these is correct?

**A**

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

**B**

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

**C**

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

**D**

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

**Soln.**

**Ans: a**

Speaking factually, $\text"log"_m(1)$ = 0 because m^{0} = 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.

### Question 5

Suppose for the sake of this question that $\text"log"_2(5)$ = 10. Then what is $\text"log"_5(32)$?

### More Chapters | See All...

Percentages | Partnerships | Data Sufficiency | Essential Part | Problems on Ages | Verification of truth | Deductive Reasoning | Direction Sense Test | Probability | Mirror Images | More...

This Blog Post/Article "Logarithms Quiz Set 010" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.