even questions only. #2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24

HW 3.2.1: Solving Exponential and Logarithmic Equations For exercises 1 - 12, solve the equation analytically, using the property that the natural base and the natural log are inverse: "(*) = x and In(e* )=x. Completely simplify answers. 1. e-4680t W /- 2. 350e" = 1400 3. 2400(1-el* ) = 2000 450 4. = 225 5. e" = 8e* 6. 9ed = 27e-1x 1+9e 7. 6Inx-3=2-Inx 8. Inx' - Inx' + Inx* =2 9. 3Inx +5In3 = In * 1 W 10. In(x' -63) =0 11. 2 Inx + In2 = In(x+3) 12. Inx+ In(2x+5) = In 3 For exercises 13 - 20, solve the equation analytically, using the log properties. Completely simplify answers. 13. 4-2 =64 14. 7(45-2x ) +13=41 15. 33-8 =81 16. 210g, (6x +5)=6 17. log, (x -6)+log, x =4 18. log, (2x) + log, x-? =2 19. log, (2x2+7x-30)-log, (x+6)=3 20. log (16x -12)-log (x -2)=2In exercises 21 - 25, sketch a graph of the given function without using a calculator; make sure to identify the asymptote and a fixed point. 21. y = In(x-3) 22. y = 2Inx 23. y= -In(x+1) 24. y = In(x+1)-3 25. y=-In(x-2)+1