# Logarithm Questions and Answer Set 1

Hi students, welcome to **Amans Maths Blogs (AMB)**. On this post, you will get the **Logarithm Question and Answer Set 1**. It will help you to practice the questions on the topics of maths as logarithm based questions of algebra.

**Logarithm Questions and Answer Set 1: Ques No 1**

If log_{5} 25 + log_{5} 5 = x, then the value of x

**Options:**

A. 3

B. 5

C. 7

D. 8

**Answer: A**

**Logarithm Questions and Answer Set 1: Ques No 2**

If 2 log 2 + log a + log b = 2 log (a + b), then which of the following is true?

**Options:**

A. a + b = 0

B. a – b = 0

C. a/b = 2

D. ab = 4

**Answer: B**

**Logarithm Questions and Answer Set 1: Ques No 3**

The least value of the expression 2 log_{10}(x) – log_{x}(1/100) for x > 1 is

**Options:**

A. 2

B. 3

C. 6

D. 4

**Answer: D**

**Logarithm Questions and Answer Set 1: Ques No 4**

If log_{x}(1/8) = -3/4, then the value of x is

**Options:**

A. 24

B. 8

C. 16

D. 4

**Answer: C**

**Logarithm Questions and Answer Set 1: Ques No 5**

If log_{5}(3) + log_{5}(3x + 1) = 1 + log_{5}(x + 3), then the value of x is

**Options:**

A. 3

B. 4

C. 2

D. 6

**Answer: A**

**Logarithm Questions and Answer Set 1: Ques No 6**

If log_{a}(x^{2} – 10) – log_{a}(x) = 2log_{a}(3), then the value of x is

**Options:**

A. -1

B. 2

C. 10

D. 4

**Answer: C**

**Logarithm Questions and Answer Set 1: Ques No 7**

If log_{10}(2^{x} + x – 41) = x(1 – log_{10}5), then the value of x is

**Options:**

A. 6

B. 5

C. 40

D. 41

**Answer: D**

**Logarithm Questions and Answer Set 1: Ques No 8**

The value of log_{2} log_{2} log_{3 }log_{3} 27^{3} is

**Options:**

A. 0

B. 1

C. 2

D. 3

**Answer: A**

**Logarithm Questions and Answer Set 1: Ques No 9**

If log(a/b) + log(b/a) = log(a + b), then

**Options:**

A. a + b = 1

B. a – b = 1

C. a = b

D. a^{2} – b^{2} = 1

**Answer: A**

**Logarithm Questions and Answer Set 1: Ques No 10**

If log 2 = x, log 3 = y and log 7 = z, then the value of log () in terms of x, y and z is

**Options:**

A. 4x + 2y/3 + z/3

B. 2x + y/3 + z/3

C. 3x + 2y/3 + z/3

D. x + 2y/3 + z/3

**Answer: C**