Question

Resolvas as inadequações exponenciais abaixo:
A. 2^x < 128
B. 4^x+3 > 16^2x-4
C. 8^3x-5x > 1/16
D. (4/3)^4x-8 < (4/3)-2x+11

Answer 1

2ˣ < 128
2ˣ < 2⁷
x < 7

4ˣ⁺³ > 16²ˣ⁻⁴
4ˣ⁺³ > (4²)²ˣ⁻⁴
x + 3 > 2(2x - 4)
x + 3 > 4x - 8
x - 4x > -8 - 3
-3x > -11
x < ¹¹/₃

8³ˣ⁻⁵ˣ > ¹/₁₆
(2³)³ˣ⁻⁵ˣ > (2)⁻⁴
3(3x - 5x) > -4
9x - 15x > - 4
-6x > -4
x < ⁴/₆
x < ²/₃

(⁴/₃)⁴ˣ⁻⁸ < (⁴/₃)⁻²ˣ⁺¹¹
4x - 8 < -2x + 11
4x + 2x < 11 + 8
6x < 19
x < ¹⁹/₆