Can log_2(x) be expressed as a series?

[geor]

Hello all,

I am aware that we can write ln(x) as a series.
But what can we say for a logarithm of an arbitrary base?

Can we write for example log_2(x) as series?

Thanks in advance..

 

[slider142]

Remember that the logarithm in base b of a number is just a constant multiple of the natural logarithm of the number, specifically: log_b(x) = ln(x)/ln(b).

 

[geor]

Oh yes, of course! Thanks a lot..