SOLUTION: 1.Express as a difference of logarithms. log g m/4 2.Yearly sales of an electronic device S(t), in millions of dollars, t years after 1998 can be estimated by S(t) = 100 &#872

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 1.Express as a difference of logarithms. log g m/4 2.Yearly sales of an electronic device S(t), in millions of dollars, t years after 1998 can be estimated by S(t) = 100 &#872      Log On


   

Question 251524: 1.Express as a difference of logarithms.
log g m/4
2.Yearly sales of an electronic device S(t), in millions of dollars, t years after 1998 can be estimated by
S(t) = 100 ∙ 6t .
What is the doubling time for the yearly sales?
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
1.Express as a difference of logarithms.
log%28g%2C+%28m%2F4%29%29
This is a simple problem if you know the properties of logarithms. One of them is: log%28a%2C+%28p%2Fq%29%29+=+log%28a%2C+%28p%29%29+-+log%28a%2C+%28q%29%29. This says we can write a log of a quotient as the difference of the logs of the dividend and divisor. We have the log of a quotient and we want to write it as a difference of logs:
log%28g%2C+%28m%2F4%29%29+=+log%28g%2C+%28m%29%29+-+log%28g%2C+%284%29%29

2.Yearly sales of an electronic device S(t), in millions of dollars, t years after 1998 can be estimated by
S(t) = 100 ∙ 6t .
What is the doubling time for the yearly sales?
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This problem makes no sense. S(t) is the equation of a line with a negative slope. A line with a negative slope means that S(t) is constantly decreasing. S(t) will never double. In fact it will never go up at all!