1 / 4

2.1, 6.7 Exponential Equations

2.1, 6.7 Exponential Equations. OBJ:  To solve an exponential equation  To solve an exponential equation using properties of rational number exponents. EX: 5  8 x = 16 P158 2 3x = 2 4 3x = 4 x = 4/3

ebony
Download Presentation

2.1, 6.7 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. 2.1, 6.7 Exponential Equations OBJ: To solve an exponential equation  To solve an exponential equation using properties of rational number exponents

  2. EX: 5 8 x = 16 P15823x = 24 3x = 4 x = 4/3 EX:  9 x = 27 32x = 33 2x = 3 x = 3/2 EX:  (1/3) x = 9 3-x = 32 -x = 2 x = -2 EX:  (3/4) x = 16/9 (3/4) x = (3/4)-2 x = -2 DEF: Exponential EquationGet same bases; set exponents =

  3. EX: 6 (5) 4x + 1 = 125 P 33(5) 4x + 1 = 5 3 4x + 1 = 3 x = 1/2 EX:  (3) 2x + 4 = 243 32x + 4 = 35 2x + 4 = 5 x = 1/2 EX:  (8) 4z = (4) z + 1 (23)4z = (22) z + 1 12 z = 2z + 2 10z = 2 z = 1/5 EX:  (64) t = (32) 1 - t (2 6) t = (2 5) 1- t 6 t = 5 – 5t t = 5/11

  4. EX:  625 –x = 125 3 x (54) –x = (53) 3x - 4x = 9x 0 = 13x 0 = x EX:  125 3 – a = 25 a (5 3) 3 – a = (5 2) a 9 – 3a = 2a 9 = 5a 9/5 = a EX:  (1/27)– 2 p=(3)p+3 (3- 3)– 2 p = (3)p+3 6p = p + 3 5p = 3 p = 3/5 EX:  2 – h = (1/8) 1 – h 2 – h = (2 - 3) 1 – h - h = - 3 + 3h - 4h = - 3 h = 3/4 EX:  (1/3) – x = (1/9) x + 1 (1/3) – x = [(1/3)2]x + 1 -x = 2x + 2 -3x = 2 x = -2/3 EX:  2 –  x  = 1/8 2 –  x  = 2 -3 - x  = -3  x  = 3 x = 3, -3

More Related