Assume that a population was 823 when t=0 and 4 years later it became 2490. Assuming the population grows exponentially, write a formula for the size of the population in t years: Population= Hint: From the data, quantify an exponential growth equation of the form P(t)=P0at and solve it for a by using logarithms. Then use the equation with this value of a.

Assume that a population was 823 when t=0 and 4 years later it became 2490. Assuming the population grows exponentially, write a formula for the size of the population in t years: Population= Hint: From the data, quantify an exponential growth equation of the form P(t)=P0at and solve it for a by using logarithms. Then use the equation with this value of a.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.6: Exponential And Logarithmic Equations

Problem 79SE: Recall the formula for continually compoundinginterest, y=Aekt. Use the definition of a...

See similar textbooks

Similar questions

A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days, thesample has decayed to 80 grams. Rounding to fivesignificant digits, write an exponential equationrepresenting this situation. To the nearest day, whatis the half-life of this substance?
Solve for x by converting the logarithmic equation log17(x)=2 to exponential form.
An investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded continuously. How much will theaccount be worth after 15 years?
When can the one-to-one property oflogarithms beused to solve an equation? When can it not be used?
Convert the equation from logarithmic equation to exponential form: 3=log7343
Solve: (a) log2(5x1)=6 (b) lne3x=6
Convert to exponential form: (a) 3=log327 (b) 0=logx1 (c) 1=log10110
How the Logarithm IncreasesIf logx=8.3 and logy=10.3, how do x and y compare?