Logarithms MCQ - Practice Questions with Solutions

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Question 1

What is the logarithm of 1 to any base?

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  • 1

  • Depends on the base

  • Infinite

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Question 2

Evaluate: log5(25)

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  • 5

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Question 3

Evaluate:

log2(8) + log2(4)

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Question 4

Solve for x: 10x = 1000

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Question 5

Solve for x: 2log3(x) - log3(x+1) = 4

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Question 6

What is the logarithmic identity for the logarithm of the reciprocal of a number?

  • logb(1/a) = logb(a)

  • logb(1/a) = -logb(a)

  • logb(1/a) = 0

  • logb(1/a) = 1

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Question 7

How does the logarithm of a product relate to the sum of individual logarithms?

  • logb(xy) = logb(x) + logb(y)

  • logb(xy) = logb(x) - logb(y)

  • logb(xy) = logb(x.y)

  • logb(xy) = logb(x/y)

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Question 8

What is the concept of rationalizing denominators in logarithmic expressions?

  • Simplifying expressions by removing square roots

  • Converting irrational numbers to rational numbers

  • Making the denominator an integer or a simple expression

  • Combining like terms in logarithmic equations

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Question 9

If log2(a) =3 and log2(b) = 4, what is log2(ab)

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Question 10

If log2(m) = 5 and log2(n) = 2, what is log2(m/n)

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There are 20 questions to complete.

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