SOLUTION: i have this formula: y=1000e^-0.056x this si the line of best fit. i need to find x when y is equal to 500. i tried: 500=1000e^-0.056x log(500)=-.056x(log(1000)) then i divide

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: i have this formula: y=1000e^-0.056x this si the line of best fit. i need to find x when y is equal to 500. i tried: 500=1000e^-0.056x log(500)=-.056x(log(1000)) then i divide      Log On


   

Question 666763: i have this formula: y=1000e^-0.056x
this si the line of best fit. i need to find x when y is equal to 500.
i tried:
500=1000e^-0.056x
log(500)=-.056x(log(1000))
then i divided both sides by log(1000) and after that i divided both sides by -.056.
Because this is part of a word problem, i know my answer should be close to 12.3, but i keep getting something above that. Help please!
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

y=1000e^-0.056x   || Fins x when y  = 500

500=+1000e%5E%28-.056x%29

   +.5+=+e%5E%28-.056x%29

      ln(.5) = -.056x       || Use Natural logarithm  ln on Your calculator

      ln(.5)/-.056 = x

              12.3776 = x