Introduction: Sometimes it can be useful to change the base of a logarithmic function.
Theorem: alogx=blogxbloga
Example: 4log9=2log92log4=2log322log22=2⋅2log32⋅2log2=2log3.
Theorem: alogx=blogxbloga
Example: 4log9=2log92log4=2log322log22=2⋅2log32⋅2log2=2log3.