Logarithmic Inequalities (Jump to: Lecture | Video )

Logarithmic inequalities are inequalities which contain logarithms.

We can use what we’ve already learned about logarithms to solve them.

Figure 1.

Let's try to solve a logarithmic inequality:

Figure 2.

Let's try another, similar logarithmic inequality:

Figure 3.

Because we're performing a logarithmic operation, x must be positive (minimum value of 0).