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Published byWesley Marshall Modified over 9 years ago
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STUDENTS WILL BE ABLE TO: CONVERT BETWEEN EXPONENT AND LOG FORMS SOLVE LOG EQUATIONS OF FORM LOG B Y=X FOR B, Y, AND X LOGARITHMIC FUNCTIONS
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LOGARITHMS Read as “log base a of x”
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LOGARITHMS ARE EXPONENTS!
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CONVERTING BETWEEN LOG AND EXPONENTIAL FORM
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WITHOUT A CALCULATOR, FIND THE FOLLOWING
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COMMON LOGARITHMS
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PROPERTIES OF LOGS
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USING THE PROPERTIES OF LOGS
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HOMEWORK Pg 195 # 3-6, 11-20, 23-30 Difference Quotient Video Project due next class!!
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GRAPHS OF LOGARITHMIC FUNCTIONS
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Domain: (0, ∞) Range: (- ∞, ∞) x-intercept: (1, 0) y-int: none Increasing: (0, ∞) Vertical Asymptote: x=0 HA: none Continuous: Yes Reflection of the graph y = a x in the line y=x
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STEPS TO GRAPHING LOG FUNCTIONS
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TRANSFORMATIONS OF LOG FUNCTIONS xy -2 0 1 2 xyxy Domain: Range: VA: x-int:
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TRANSFORMATIONS OF LOG FUNCTIONS xy -2 0 1 2 xyxy Domain: Range: VA: xy
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TRANSFORMATIONS OF LOG FUNCTIONS Domain: Range: VA: x-int: xy -2 0 1 2 xyxyxy
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FIND THE DOMAIN 1.f(x) = log 7 (x-4) 2.g(x)= log (1-2x) 3.g(x)= log 8 x 2 How do you think we can find the domain? Remember, we can’t take the log of a negative number. Set the piece inside the log greater than or equal to zero, then solve!
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CHANGE OF BASE FORMULA Any number you want!
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THE NATURAL LOGARITHM
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PROPERTIES OF NATURAL LOGS
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USING THE PROPERTIES OF NATURAL LOGS
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QUIZ 3.1-3.2 THURSDAY 3.1 Exponential Functions and their graphs Evaluate exponential functions Graph exponential functions Properties of exp graphs Natural base Graph Evaluate Compound Interest Solve 1-to1 exp equations 3.2 Logarithmic Functions and their graphs Evaluate log functions Graph log functions Properties of log graphs Properties of logs Common Log Change of Base Natural Log Evaluate
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HOMEWORK Pg 195 #35, 41, 43, 45-48, 50, 51(53-61 odd)
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