Basics of Logarithms

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What is a logarithm?
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A logarithm is the power to which a number must be raised to get another number.
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How do you express log base b of x equals y in exponential form?
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b^y = x
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What is the logarithm of 1 to any base?
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0
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What does it mean when the logarithm of a number is negative?
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It means the original number is a fraction between 0 and 1.
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What is the common logarithm?
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The common logarithm is the logarithm with base 10.
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What is the natural logarithm?
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The natural logarithm is the logarithm with base e (approximately 2.718).
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What base is used in binary logarithms?
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Base 2
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How do you calculate log base 10 of 1000?
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3
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What's the logarithm base 2 of 8?
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3
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Is the logarithm function invertible?
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Yes
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What is the change of base formula?
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log base b of x = log base k of x / log base k of b
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Can the base of a logarithm be 1?
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No, the base of a logarithm cannot be 1.
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What is a common use of logarithms in real life?
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Logarithms are used in measuring the Richter scale for earthquakes.
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What is the logarithmic identity involving multiplication?
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log base b of (xy) = log base b of x + log base b of y
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What is an example of a logarithmic graph?
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The graph of y = log(x) shows a logarithmic pattern.
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