SOLVING LOGARITHMIC INEQUALITIES WORKSHEET

Solve the following logarithmic inequalities.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

Solution

Answer Key

1)  The intersection of the domain is (1/5, 2/5).

2) The solution is (1/3, 2).

3)  All negative values are ignored and the intersection part is (0, 1).

4)  All negative values should be ignored for x and finding the intersection part, we get (1/2, ∞).

5) The intersection part of all is (-1/4, 1/3).

6)  Intersection of all domains is (4/7, ∞).

7)  Negative values are not solution. Only positive values greater than 1. So, the solution is (1, ∞).

Solve the following logarithmic inequalities.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Answer Key

1)

2)  The intersection of all solution is (-0.5, ∞).

3)  the solution is (3, 7).

4)  (1, ∞) is the solution

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