Let’s see how to solve these problems step by step.

1. Use algebraic manipulation to move everything that is not in the exponential expression to one side

2. Isolate the variable by getting rid of the exponential expression

Example:

Example:

3. Solve the inequality

These problems are a little simpler than solving logarithmic inequalities. Let’s see how to solve an example step by step.

First example (click here):

Step 1: Use algebraic manipulation to move everything that is not in the exponential expression to one side

Step 2: Isolate the variable by getting rid of the exponential expression

Step 3: Solve the inequality

That was pretty simple. Let’s see some more examples.

Second example (click here):

Last example (click here):

Solving exponential inequalities are simpler than solving logarithmic inequalities. However, it can still get a little tricky when solving these inequalities with more parts. For more help and practice on solving exponential inequalities, visit Symbolab’s practice.

Until next time,

Leah