Introduction to Logarithms

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Transcript of Introduction to Logarithms

  • 1. Logarithms

2. ?? ?? LOGARITHM ?? ?? 3. Inverse Functions Original function: y = kx => f (x) = kx Inverse function:x x -1 x = ky => y = => f (x) = k k 4. Example f (x) = 2x;f -1(x) =x 2 5. Inverses Invertx g(x) = 2f (x) = 2x( x f g (x) = 2 = x 2(2x g f (x) = =x x) ) 6. y =k Inverty =kxx =kyNow solve for y.x 7. ???????????????????????? 8. Enter the Logarithm()loga b = cmeansa =b cJumping Horse Outlineby warszawianka. Found at http://openclipart.org/detail/10712/jumping-horse-outline-bywarszawianka-10712. Public domain. 9. x =k Solution:yy = logk x 10. ()loga b = ca =b cImplications? Graphs of inverse functions reflect over line y = x. 11. Implications Increasing Asymptote: y-axis => x>0. loga1=0. logaa=1. 12. Summary Basic relationship:y = a x = loga y x 13. Next Yes but so what?