Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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**

$\text"log"_2(1)$ = 2.

**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 2

Let us suppose that log(5) = 3, then what is log($1/50$) if the base is 10?

### Question 3

What is P if $\text"log"_5(4)$ + $\text"log"_5(4P + 1)$ = 1 + $\text"log"_5(P + 4)$?

**A**

$1{5/11}$.

**B**

$2{7/10}$.

**C**

${5/13}$.

**D**

$3{10/13}$.

**Soln.**

**Ans: a**

We have $\text"log"_5(4)$ + $\text"log"_5(4P + 1)$ = $\text"log"_5(5)$ + $\text"log"_5(P + 4)$. It is same as $\text"log"_5(4 × (4P + 1))$ = $\text"log"_5(5 × (P + 4))$. Equating the logs, $4 × (4P + 1) = 5 × (P + 4)$, solving for P we get P = $1{5/11}$.

### Question 4

What is x if log_{x}(y) = 6 and log_{2}(x) = 5?

### 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...

Probability | Basic Simplification | Paper Cutting | Inequalities | Alphabet Number Series | HCF and LCM | Problems on Ages | Verification of truth | Classification Test | Essential Part | More...

This Blog Post/Article "Logarithms Quiz Set 001" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-05-17.