Logarithm Equations Quiz

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Questions and Answers

What is the logarithm of 1000 to the base 10?

  • 2
  • 3 (correct)
  • 4
  • 1

What is the common logarithm of 1?

  • 10
  • 0 (correct)
  • 1
  • -1

What is the logarithm of 8 to the base 2?

  • 3 (correct)
  • 1
  • 2
  • 4

What is the logarithm of 64 to the base 4?

<p>3 (A)</p> Signup and view all the answers

If log₃(9x) = 2, what is the value of x?

<p>3 (C)</p> Signup and view all the answers

What is the base-10 logarithm of 0.001?

<p>-3 (B)</p> Signup and view all the answers

Flashcards

log₁₀(1000)

The logarithm of 1000 to the base 10 is 3, because 10³ = 1000.

log₁₀(1)

The common logarithm of 1 is 0, because 10⁰ = 1.

log₂(8)

The logarithm of 8 to the base 2 is 3, because 2³ = 8.

log₄(64)

The logarithm of 64 to the base 4 is 3, because 4³ = 64.

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If log₃(9x) = 2, find x

If log₃(9x) = 2, then x = 1. First find 9x = 3^2 = 9, then x = 9/9 = 1.

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log₁₀(0.001)

The base-10 logarithm of 0.001 is -3, because 10⁻³ = 0.001.

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