# 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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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

WARM UP: SOLVE THE FOLLOWING 1. 4 6 =4 3x 2. 8=x 3 3. 27=3 x 4. x 1/4 =2

INVERSES OF EXPONENTIAL FUNCTIONS We know what exponential functions look like as equations and as graphs Let’s look at f(x)=2 x The inverse of f(x)=2 x is a base 2 logarithmic function. f -1 (x)=log 2 x  (“log base 2 of x”) They share all the characteristics of inverses. Reflection over the line y=x Points are flipped

LOGARITHMS Read as “log base b of y”

CONVERTING To convert between logarithmic and exponential form, just substitute the values into the appropriate places.

EVALUATING LOGARITHMS

COMMON LOGARITHMS

SOLVING LOG EQUATIONS