Logarithmic inequalities

In logarithmic inequalities the novelty compared with equations is that the comparison between arguments depends on the base: if the base is greater than $1$ the direction is preserved, if it is between $0$ and $1$ the direction is reversed. The existence conditions, on the other hand, never change. The section states the rule, applies it in a battery of guided examples with base less than $1$ and reiterates the role of the ECs.

• Rule for the direction in inequalities
• Basic cases with base less than 1
• The ECs always hold