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Unformatted text preview: ) = 4. Since f ( f1 ( x )) = x Since f1 ( f ( x )) = x 8 Evaluate: 1. log 3 ( 1 9 2 ) 2. 5 log 5 (4)log 5 (3) Write as a single logarithm: log 4 ( x1)1 2 log 4 ( x + 3) Solve for x : 2log( x ) = 6 log 2 ( x + 6) = 2log 2 ( x ) 9 The common logarithm has base 10 and is denoted The natural logarithm has base e and is denoted Properties ln x = y f ( f1 ( x )) = x f1 ( f ( x )) = x 10 Solve for x : 1. ln(2 x4) = 3 2. e x 2 = 5 3. 2ln( x )ln(3x ) = ln( 1 2 ) + ln(8) 11 Sketch the graphs: y = ln( x ) y = ln( x + 2)1 12 Find the inverse of y = ln( x + 2)1. 13 Change of base formula For any a > 0 and a 6 = 1 log a ( x ) = ln( x ) ln( a ) 14 Where do the graphs intersect? y = log 2 ( x + 2); y = log 4 (8 x ) 15...
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 Fall '08
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 Calculus, Inverse Functions

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