   Chapter 2.3, Problem 76E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

If a town's population is increasing logarithmically with time, how is time increasing with population? Explain.

To determine

The relation between time increasing and population, if a town’s population is increasing logarithmically with time.

Explanation

Given that a town’s population is increasing logarithmically with respect to time.

Let P be the population at a given time t, then relation between population and time is given by:

P=logbt+C

Where b and C are constants.

Taking exponential on both side of, P=logbt+C

P=logbt+Clogbt=PCt=b(

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