1 / 18

Finding Exponential Equations

Finding Exponential Equations. (using logs). R. Not very straight! . x. x. x. x. x. x. x. t. R. Exponential. x. Equation?. x. x. x. x. x. x. t. log. R. find equation with log R and log t. in form log R = m log t + c. x. x. x. x. x. x. x. log. t. gradient.

ranee
Télécharger la présentation

Finding Exponential Equations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Finding Exponential Equations (using logs)

  2. R Not very straight!  x x x x x x x t

  3. R Exponential x Equation? x x x x x x t

  4. log R find equation with log R and log t in form log R = m log t + c x x x x x x x log t

  5. gradient log R need two points on line x (4 , 34) x m = 34 - 6 = 28/4 x 4 – 0 x = 7 x y = 7x + 6 x x log R = 7 log t + 6 6 do not want logs in equation log t

  6. log R = 7 log t + 6 logless! ? want to change 6 → log10........ log statement log10 x = 6 translation x = 106 equation becomes log10 106 log R = 7 log t + no need to always write 10 still some work to do!

  7. log R = 7 log t + log106 to get rid of logs want log…. = log…. Time for some log rules

  8. log R = 7 log t + log106 Neat Wee Rule log R = log t7 + log106 Addition Rule (t7 X 106) log R = log R = 1000000t7

  9. Finding Exponential EquationsUsing Logs Tactics Get straight line equation with logs Change everything to logs Get rid of the logs!!

  10. log R find equation with log R and log t in form log R = m log t + c x x x x x x x log t

  11. Find Gradient log R need two points on line x (13 , 34) x m = 34 - 8 = 26/13 x 13 – 0 x = 2 x y = 2x + 8 x x log R = 2 log t + 8 8 log t

  12. log R = 2 log t + 8 logless! want to change 8 → log10? log statement log10 x = 8 translation x = 108 equation becomes log R = 2 log t + log 108 no need to always write 10

  13. log R = 2 log t + log108 to get rid of logs want log…. = log…. Neat Wee Rule log R = log t2 + log108 Addition Rule log log (t2 X 108) R = Eliminate Logs (t2 X 108) R = R = 100000000t2

  14. log R Equation log R = mt + c x x x x x x x t

  15. log R x (6 , 7) x m = 7 - 4 = 3/6 x 6 – 0 x = 0.5 x y = 0.5x + 4 x x log R = 0.5t + 4 4 t

  16. log R = 0.5t + 4 logless! want to change 4 → log10 same for 0.5t log statement log10 x = 4 log10 x = 0.5t translation x = 104 x = 100.5t equation becomes log R = log 100.5t + log 104

  17. log R = log 100.5t + log 104 Addition Rule log log (100.5t X 104) R = Eliminate Logs R = (100.5t X 104) R = 10000 X 100.5t 100.5 = 3.2 R = 10000 X 3.2t R = 10000 (3.2)t

  18. Annoying First Part of Question Sort of Thing If y = abt Show that the relationship between log y and log b is linear log y = log abt reverse addition rule log y = log a + log bt Neat Wee Rule log y = log a + t log b log y = t log b + log a eh? log both sides like y = mx + c → linear

More Related