SOLUTION: In the equation y= 33(1.09^x), y represents the number of cans of soda drank in a certain town in thousands and x represents the number of years since Jan 1, 1992. Find the year in

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: In the equation y= 33(1.09^x), y represents the number of cans of soda drank in a certain town in thousands and x represents the number of years since Jan 1, 1992. Find the year in      Log On


   

Question 835256: In the equation y= 33(1.09^x), y represents the number of cans of soda drank in a certain town in thousands and x represents the number of years since Jan 1, 1992. Find the year in which the people of the town drank 50 thousand cans of soda for the first time.
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Q:
In the equation y= 33(1.09^x), y represents the number of cans of soda drank in a certain town in thousands and x represents the number of years since Jan 1, 1992. Find the year in which the people of the town drank 50 thousand cans of soda for the first time.
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A:
33%281.09%5Ex%29+=+50, divide both sides by 33
1.09%5Ex+=+50%2F33, get the ln of both sides
x%2Aln%281.09%29+=+ln%2850%2F33%29
x+=+ln%2850%2F33%29%2Fln%281.09%29 ≈ 4.82 years
Answer: Year 1996