Simplifying nested logarithms with any outer base

[japplepie]

Outer log could be any base.

 

[mfb]

You can convert it with the usual formulas for logarithms (do you know them?), but the expression won't get shorter. "Simple" is a matter of taste.

 

[japplepie]

You can convert it with the usual formulas for logarithms (do you know them?), but the expression won't get shorter. "Simple" is a matter of taste.

There is no way to reduce the number of logs being done right? No mater what you convert it to, it will still use at least 2 logs?

 

[mfb]

Right.