SOLUTION: The population of a southern city follows the exponential law. If the population doubled in size over 23 months and the current population is 40,000​, what will the populati

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Question 1088834: The population of a southern city follows the exponential law. If the population doubled in size over 23 months and the current population is 40,000​, what will the population be 2 years from​ now?
What will the population be 2 years from​ now?
  
The population will be approximately ________people?
​(Do not round until the final answer. Then round to the nearest whole number as​ needed.)
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
You can keep the time quantity as months.
2 years is 24 months.

p=40000%2Ab%5E23=80000, because you know 23 months makes population double.
b%5E23=2
log%28%28b%5E23%29%29=log%28%282%29%29
23%2Alog%28%28b%29%29=log%28%282%29%29
log%28%28b%29%29=%281%2F23%29log%28%282%29%29
log%28%28b%29%29=0.013088
b=10%5E0.013088
b=1.0306
Your 2-year population is p=40000%2A%281.0306%29%5E24.