Download presentation

Presentation is loading. Please wait.

Published byClaud Dean Modified over 9 years ago

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
DEF: Exponential Equation Get same bases; set exponents = EX: 5 8 x = 16 P158 2 3x = 2 4 3x = 4 x = 4/3 EX: 9 x = 27 3 2x = 3 3 2x = 3 x = 3/2 EX: (1/3) x = 9 3 -x = 3 2 -x = 2 x = -2 EX: (3/4) x = 16/9 (3/4) x = (3/4) -2 x = -2

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 3 2x + 4 = 3 5 2x + 4 = 5 x = 1/2 EX: (8) 4z = (4) z + 1 (2 3)4z = (2 2) 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 (5 4 ) –x = (5 3 ) 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

Similar presentations

© 2024 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google