revised-7.3Log&ExpOther BasesSolutions

revised-7.3Log&ExpOther BasesSolutions - MthSc...

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MthSc 108-Learning Activity Solutions Section 7.3: Logarithmic and Exponential Functions with Other Bases 1. Solve the equation for x: log 3 x + log 3 ( x 2) = 1 log 3 x + log 3 ( x = 1 log 3 ( x ( x 2)) = 1 3 1 = x 2 2 x x 2 2 x 3 = 0 ( x + 1)( x 3) = 0 x =− 1, 3 The only solution is x=3 because of the domain of a logarithm function. 2. Compute the derivative using logarithmic differentiation. y = 1 + x 2 ( ) sin x ln y = ln 1 + x 2 ( ) sin x = sin x ln 1 + x 2 () 1 y y ' = d dx sin x ln 1 + x 2 = sin x 2 x 1 + x 2
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This note was uploaded on 01/30/2011 for the course MTHSC 108 taught by Professor Any during the Spring '08 term at Clemson.

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