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If the exponential equation of best fit is y= 2.9046(1.9798)^x, when will the population be more than 13 million?

How would I figure this out?

I already determined the population in 30 days was 2,299,989,909 which is quite far from 13 million, but that gave me the number of days to figure out. How do I figure out when they give me the answer and I have to figure out the number of days?

  • math -

    y=2.9046(1.9798)^x
    Solve for y=13. So:
    13=2.9046(1.9798)^x
    13/2.9046=1.9798^x
    4.47566=1.9798^x
    ln 4.47566=ln 1.9798^x=x ln 1.9798
    x=2.1942355
    The number of days, at that rate, would be 2.1942355
    ☺☺☺☺

  • math -

    except you want

    2.9046(1.9798)^x = 13000000
    x = 22.42

  • math- Steve -

    Thank you, but could you tell me how I would enter this into my calculator?

  • math- Steve -

    Thank you, but could you tell me how I would enter this into my calculator?

  • math -

    the same way you did it, but using the right value of 13,000,000 instead of 13.

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