Logarithm Questions and Answer Set 1

Hi students, welcome to Amans Maths Blogs (AMB). On this post, you will get the Logarithm Questions and Answer Set 1 is the collection of some important questions. Practice these questions for SSC CGL CHSL CAT NTSE NSEJS exams etc. 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 log₅ 25 + log₅ 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 log₁₀(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 log₅(3) + log₅(3x + 1) = 1 + log₅(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(x² – 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 log₁₀(2^x + x – 41) = x(1 – log₁₀5), 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 log₂ log₂ log₃ log₃ 27³ 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. a² – b² = 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

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