Taking the natural log of both sides? V(t) = 100000e^0.095t, t in weeks ? Please help?

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Bob asked:


Freddie is a tv producer. He has to convince his authority that her programme will attract at least 500000 viewers. He argued that viewing figures were growing according to the formula:
V(t) = 100000e^0.095t, t in weeks. How long should it take to reach her target viewing figures?

Please show the steps on how to do this
and if you could explain how to do it, that would be a great help
Thanks
The answer is 17 weeks so if you could help me understand how to get this answer that would be very helpful
Thanks

Anna

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    • This entry was posted on Monday, July 23rd, 2007 at 9:46 pm and is filed under siding. You can follow any responses to this entry through the RSS 2.0 feed. Both comments and pings are currently closed.

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    One Response to “Taking the natural log of both sides? V(t) = 100000e^0.095t, t in weeks ? Please help?”

    1. Seri s Says:
      July 25th, 2007 at 5:34 am

      V(t) = 100000e^0.095t
      500000 =100000e^0.095t
      500000/100000 =e^0.095t
      5=e^0.095t
      ln 5 = ln (e^0.095t)
      ln 5 = 0.095t*ln (e)
      ln 5 = 0.095t*1
      ln 5 = 0.095t
      (ln 5)/0.095 = t
      t=16.9 or 17

      so 17 weeks, it will reach her target viewing.