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Published byJoshua McKenzie Modified over 8 years ago
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Goals: Understand logarithms as the inverse of exponents Convert between exponential and logarithmic forms Evaluate logarithmic functions
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Evaluate Logarithmic Expressions A logarithmic function is the inverse of an exponential function Given a y = x, a logarithm is defined as log a x = y Examples: 2 4 = 16 log 2 16 = 4 log 2 8 = 3 2 3 = 8 5 4 = 625 log 5 625 = 4 log 7 49 = 2 7 2 = 49
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Special Logarithmic Values If a and b are >1, then log a 1 = 0 because a 0 = 1 log a a = 1 because a 1 = a log a a x = x because a x = a x
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