Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.5 - 1.
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Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.5 - 1
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.5 - 2
Inverse, Exponential
and
Logarithmic Functions
Chapter 11
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.5 - 3
11.5
Common and Natural Logarithms
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.5 - 4
11.5 Common and Natural Logarithms
Objectives
1. Evaluate common logarithms using a calculator.
2. Use common logarithms in applications.
3. Evaluate natural logarithms using a calculator.
4. Use natural logarithms in applications.
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.5 - 5
11.5 Common and Natural Logarithms
Common Logarithms
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.5 - 6
11.5 Common and Natural Logarithms
Common Logarithms
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.5 - 7
11.5 Common and Natural Logarithms
Evaluating Common Logarithms
The loudness of sound in decibels is given by the formula
Where I0 is the weakest sound detected by the observer and I is the intensity of the given sound.
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.5 - 8
11.5 Common and Natural Logarithms
Common Logarithms in Applications
0
10logI
yI
That is, find the value of I0 is 51,000 times I.
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.5 - 9
11.5 Common and Natural Logarithms
Common Logarithms in Applications
0
10logI
yI
0
51,00010logy
I
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.5 - 10
11.5 Common and Natural Logarithms
Natural Logarithms and Evaluation
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.5 - 11
11.5 Common and Natural Logarithms
Natural Logarithms and Evaluation
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.5 - 12
11.5 Common and Natural Logarithms
Applications of Natural Logarithms
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