Exponential Functions Logarithmic Functions

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Exponential Functions Logarithmic Functions Section 5.3 Exponential Functions And Section 5.4 Logarithmic Functions Copyright © 2013 Pearson Education, Inc. All rights reserved

Evaluate exponential functions. Graph exponential functions. Objectives Evaluate exponential functions. Graph exponential functions. Define the number e. Solve exponential equations. Change exponential statements to logarithmic statements and vice versa. Evaluate logarithmic expressions. Solve logarithmic equations. Copyright © 2013 Pearson Education, Inc. All rights reserved

Power function: (the base is a variable) Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Logarithmic Functions Section 5.4 Logarithmic Functions Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

(a) 3 raised to what power yields 81? (b) 2 raised to what power yields ? Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Natural Logarithm Function Copyright © 2013 Pearson Education, Inc. All rights reserved

Common Logarithm Function Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Isolate the exponential Change to logarithmic form Exact solution Approximate solution Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Homework: 5.3 # 15a, 21, 33-40 all, 61-77 odd 5.4 # 9, 11, 17, 19, 25-31 odd, 87-97 odd Copyright © 2013 Pearson Education, Inc. All rights reserved

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