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# Logarithms

### Logarithmic Functions and Properties of Loarithms

TermDefinition
Properties of Loarithms If x,y and b are positive real numbers, b does not =1, and r is a real number then they are true.
Property of Loarithms log b xy=log b x+ log b y
Quotient of Loarithms log b x/y=log b x-log b y
Power Property of Loarithms log b x r =rlog b x
Other true logarithms 1 log b 1=0
Other true logarithms 2 log b b x =x
Other true logarithms 3 b log b x =x
Logarithmic Functions take a one to one function like f(x)=3 x with an inverse, To get the inverse f -1 switch the coordinates in the table of values of f(x)=3 x
Equation for f -1 step 1. replace f(x) by y step 2. interchange x and y step 3. solve for y
Logarithmic Notation log b x means the power to which b is raised to produce a result of y. log b x=y means b y =x
Logarithmic if b>0 and b does not = 1, then y=log b x means x= b y fro every x >0 and every real number y.
Logarithmic is an exponent for log 4 16 is the power that we raise 4 in order to get 16
Created by: katieblake