Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

Which of these is correct?

**A**

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

**B**

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

**C**

$\text"log"_3(3)$ = 9.

**D**

$\text"log"(7 + 2 + 3)$ = $\text"log"(42)$.

**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 the value of log(3) + log(7)?

### Question 3

What is x if log_{x}(y) = 7 and log_{2}(x) = 2?

### Question 4

What is ${\text"log"(√4)}/{\text"log"(4)}$?

### Question 5

Which of these is correct?

**A**

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

**B**

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

**C**

$\text"log"_8(8)$ = 64.

**D**

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

**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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This Blog Post/Article "Logarithms Quiz Set 003" 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