MthSc 108-Learning Activity Solutions Section 7.3: Logarithmic and Exponential Functions with Other Bases 1. Solve the equation for x: log3x+log3(x−2)=1log3x+log3(x−=1→log3(x(x−2))=1→31=x2−2x→x2−2x−3=0→(x+1)(x−3)=0→x=−1, 3The only solution is x=3 because of the domain of a logarithm function. 2. Compute the derivative using logarithmic differentiation. y=1+x2()sinxlny=ln 1+x2()sinx=sinxln 1+x2()1yy'=ddxsinxln 1+x2=sinx2x1+x2
This is the end of the preview. Sign up
access the rest of the document.
This note was uploaded on 01/30/2011 for the course MTHSC 108 taught by Professor Any during the Spring '08 term at Clemson.