Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

What is x if log_{x}(y) = 5 and log_{2}(x) = 3?

### Question 2

Which of these is correct?

**A**

$\text"log"_6(2)$ = $1/{\text"log"_2(6)}$.

**B**

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

**C**

$\text"log"_5(5)$ = 25.

**D**

$\text"log"(6 + 2 + 5)$ = $\text"log"(60)$.

**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 3

Which of these is correct?

**A**

$\text"log"_4(1)$ = 0.

**B**

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

**C**

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

**D**

$\text"log"(4 + 7 + 2)$ = $\text"log"(56)$.

**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 4

What is x if log_{x}(y) = 5 and log_{2}(x) = 3?

### Question 5

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

### More Chapters | See All...

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This Blog Post/Article "Logarithms Quiz Set 014" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.