SOLUTION: please help me solve this problem it is a logarithmic, I think. As a town gets smaller, the population of its high school decreases by 12% each year. the student body numbers 125 s

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Question 750242: please help me solve this problem it is a logarithmic, I think. As a town gets smaller, the population of its high school decreases by 12% each year. the student body numbers 125 students now. in how many years will it number about 75 students?
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
Simplest way to analyze it is that each year population is pop*(1.00-0.12).

Starting with 125 students,
1 year 125*(1-0.12)
2 year
3 year
n year

You are looking for how
then


Can you take this the rest of the way to the solution for n? Take logarithms of both sides, and use the rule about logs,

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