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 Logarithms 40 Flashcards |
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What is the logarithmic form of the equation 3⁴ = 81? |
Card: 1 / 40 |
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Log₃81 = 4 |
Card: 2 / 40 |
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Which law states that the logarithm of a product is the sum of the logarithms of its factors? |
Card: 3 / 40 |
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Product Law |
Card: 4 / 40 |
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True or False: The logarithm of 1 to any base is always 1. |
Card: 5 / 40 |
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False. The logarithm of 1 to any base is always 0. |
Card: 6 / 40 |
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Fill in the blank: The logarithm of a number raised to a power is given by ______. |
Card: 7 / 40 |
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Power Law |
Card: 8 / 40 |
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Riddle: I help you simplify multiplication into addition, what am I? |
Card: 9 / 40 |
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Logarithm |
Card: 10 / 40 |
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What is the formula for the Quotient Law of logarithms? |
Card: 11 / 40 |
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Loga(m/n) = logam - logan |
Card: 12 / 40 |
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If log₂8 = x, what is the value of x? |
Card: 13 / 40 |
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3 |
Card: 14 / 40 |
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Which of the following is true regarding logarithms? A) log₁₀(100) = 1 B) log₂(1) = 0 C) logₐ(a) = 0 D) logₐ(1) = a |
Card: 15 / 40 |
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B) log₂(1) = 0 |
Card: 16 / 40 |
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Fill in the blank: The logarithm of a number to its own base is always ______. |
Card: 17 / 40 |
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1 |
Card: 18 / 40 |
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True or False: Logarithms can only be calculated for positive numbers. |
Card: 19 / 40 |
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True |
Card: 20 / 40 |
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What is the relationship shown by the property logba = x? |
Card: 21 / 40 |
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Logab = 1/x |
Card: 22 / 40 |
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If log₁₀(1000) = x, what is the value of x? |
Card: 23 / 40 |
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3 |
Card: 24 / 40 |
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Riddle: I am the key to changing bases, making logarithms interchangeable. What am I? |
Card: 25 / 40 |
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Change of Base Formula |
Card: 26 / 40 |
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According to the Power Law, how would you express logₐ(m⁴)? |
Card: 27 / 40 |
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4 logₐ(m) |
Card: 28 / 40 |
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What is the common logarithm of 10? |
Card: 29 / 40 |
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1 |
Card: 30 / 40 |
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If log₁₀(2) = a and log₁₀(5) = b, what is log₁₀(10) in terms of a and b? |
Card: 31 / 40 |
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A + b |
Card: 32 / 40 |
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Fill in the blank: The formula for the logarithm of a fraction is loga(m/n) = logam - ______. |
Card: 33 / 40 |
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Logan |
Card: 34 / 40 |
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Which property of logarithms states that logaa = 1? |
Card: 35 / 40 |
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Logarithm of a Base to Itself |
Card: 36 / 40 |
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True or False: The logarithm of a number can be negative. |
Card: 37 / 40 |
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True, if the number is between 0 and 1. |
Card: 38 / 40 |
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Which of the following statements about logarithms is true? A) logₐ(1) = 1 B) logₐ(a) = 0 C) logₐ(a) = 1 D) logₐ(0) = ∞ |
Card: 39 / 40 |
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C) logₐ(a) = 1 |
Card: 40 / 40 |
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