{{ item.displayTitle }}

No history yet!

Student

Teacher

{{ item.displayTitle }}

{{ item.subject.displayTitle }}

{{ searchError }}

{{ courseTrack.displayTitle }} {{ statistics.percent }}% Sign in to view progress

{{ printedBook.courseTrack.name }} {{ printedBook.name }} The Property of Inequality for Logarithmic Equations states that if two common logarithms form an inequality, the inequality also holds true for the logarithms' arguments.

$g(x)<g(y)⇔x<y$

This identity is true if $x$ and $y$ are positive real numbers. The same relation holds true for any logarithm with a base $b$ greater than $1.$ However, if the base, $b,$ of the logarithm is **less** than $1,$ the **opposite** is true.

$ g_{b}(x)<g_{b}(y)⇔x<y,1<bg_{b}(x)<g_{b}(y)⇔x>y,0<b<1 $