Lecture #11 - 3.2.pdf - Math 125 – Section 3.2 Notes Lecture#11 June 18th 3.2 – Logarithmic Functions Logarithm – a number that represents the

# Lecture #11 - 3.2.pdf - Math 125 – Section 3.2 Notes...

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Math 125 – Section 3.2 Notes Lecture #11, June 18 th 1 3.2 – Logarithmic Functions - Logarithm – a number that represents the power to which a fixed number must be raised to produce a given number. o Abbreviated as “log”. - Logarithmic functions are the inverses of exponential functions. o Taking the logarithm of an exponential function allows us to isolate the exponent part. e.g. log 2 2 x = x - They take the form log ! ࠵? = ࠵? , or equivalently, b y = x. o b > 0 and b ≠ 1 o In this case, the logarithm is the “y” term (the exponent that “b” is being raised to in order to get “x”). o Think of it as “the number that takes b to x”. o Remember as log ! ࠵? = ࠵? § b = base (the number you are raising to the “y” power) § a = answer (the number you get when you raise b to the y power, or b y ) § e = exponent (the number that you are raising “b” to in order to get “e”) § B.A.E. à base, answer, exponent This only works if the “log” part comes first! log !

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