A logarithmic function with a base has the form** y=log _{a}x, where a>0 is not 1**.

By the logarithmic property, the logarithmic function is reduced by** x=a^y**. In simple words: the logarithm of the number **x **on the base **a **is the exponent of the degree to which you want to build **a **to get **x**

The graph of a logarithmic function is a curve that is right of the coordinate axis. The graph of the function always intersects the point (1;0).

The scope and scope of the function are all valid numbers.

At a>1, the graph of the logarithmic function increases throughout the interval. At 0<a<1, the function decreases over the entire domain of the definition.

Example logarithm function graph: