SOLVING EXPONENTIAL EQUATIONS AND INEQUATLITIES WORKSHEET

Solve each inequality :

Problem 1 :

625 ≥ 5^{a + 8}

Problem 2 :

16 ^{2x -3} < 8

Problem 3 :

3^{2x - 1} ≥ (1/243)

Problem 4 :

2^{x + 2} > (1/32)

Problem 5 :

4^{2x + 6} ≤ 64^{2x - 4}

Problem 6 :

25^{y - 3} ≤ (1/125)^y+2

Problem 7 :

Problem 8 :

Answer Key

1) The solution is a ≤ -4

2) The solution is x < 15/8

3) the solution is x ≥ -2

4) the solution is x > -7

5) the solution is x ≥ 9/2

6) the solution is y ≥ 0

7) the solution is t ≤ -40