Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

What is x if log_{x}$(3/5)$ = $1/2$?

### Question 2

What is the value of log_{2}(128)?

### Question 3

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**

$\text"log"_7(1)$ = 7.

**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 4

Which of these is correct?

**A**

$\text"log"_6(8)$ = $1/{\text"log"_8(6)}$.

**B**

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

**C**

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

**D**

$\text"log"(6 + 8 + 4)$ = $\text"log"(192)$.

**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.

### Question 5

What is the value of $\text"log"_3(√3)$?

This Blog Post/Article "Logarithms Quiz Set 020" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-04-07.