1225BW05W06_sol.pdf

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Department
Mathematics
Course
Mathematics 1225A/B
Professor
Jennifer Mori
Semester
Winter

Description
basedon2005and2006testsMathematics1225BCODE111Page1Test1PracticeTestPARTA17markslog7511markFindthevalueof557A5B7C35D7E5logalog7b5SolutionForanybasebweknowthatbaso57log36log42221markSimplifylog2723221132ABCDlogElog222733327Solution362log2log3log9log32log36log422222243log27log27log27log33log332222231markIffxxlnxthenfe1A0B1C2DEeeSolutionWeusetheproductrule1fx1lnxxlnx11lnxxThereforefe1lne1122x41markIffx3ndfx2x12x2x2x2xA2x3B3C23D2ln33Eln33dxxbblnbWegetSolutionWeneedthechainrulealongwiththefactthatdxd2x2x2xfx3ln32x3ln322ln33dxlnx51markIffxxndfx1lnx1lnx1lnxlnxlnxAlnxxBxlnxCxD2xExxxSolutionSincewehaveavariablebaseraisedtoavariablepowerweneedlogarithmicdierentiationLettingyfxsothatfxywehavelnxyxlnx2lnylnxlnxlnxlnx2lnxyd112lnxlnx2lnxydxxx2lnxlnx2lnxlnxlnxyx2xfxyxxx
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