Introduction: A function of the form y(x)=alogx,(x>0) where a (a1) is a positive number is called a logarithmic function with base a.

Meaning of the logarithmic function with base a:
y(x)=alogx means: to x belongs the y that satisfies ay=x.

Example: For instance y(x)=2logx gives:

2log1=0, since 20=1

2log2=1, since 21=2

2log8=3, since 23=8