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# Logarithm Properties

### Properties of Logs--Precalculus

Log\b/(x)=y ---> b^y=x
Log\b/(x)+Log\b/(y)= Log\b/(xy)
Log\b/(1)=0 b^0=1
Log\b/(x^n)= n*Log\b/(x)
ln(x)= ln\e/(x)
Log\b/=(c/u) 10(c/u)=b
Log\3/([square root of]27)=y 3^y=([square root of]27)= 3^y=([square root of]3^3)= 3^y=(3^3)^(1/2)=3^(3/2)--->y=3^(3/2)
Log\4/([cubed root of]256)=y 4^y=[cubed root of]256
Log parent graph? aysmptote: y=0 ; x-int: (1,0) ; the line never touches the y-axis but increases positively and skewed right after passing through the x-axis.
Change of base formula (for logs): Log\b/(x)= (Log\a/[x])/(Log\a/[b]) [a is any #] Change of base formula? See if you can write it all down without looking back
Log\8/[81]=a[any #] (Log\a/[81])/(Log\a/[8])...say a=9 (Log\9/[81])/(Log\9/[8]) = 2/(Log\2/[8])
Created by: 1043010207