Why both Wolfram Alpha and Wolfram Cloud don't simplify below BBP type sum, which I came up with,
Sum((1/81)^(k+1)*(9/(2*k+1)+1/(2*k+2)),k = 0 .. infinity)
to
2*log(3) - 3*log(2)
And also https://www.dcode.fr/summation-calculator does not produce the desired final result
http://drhuang.com/science/mathematics/software/doesn't produce the final result either
With Mathematica I get simplification with FullSimplify, but not with Simplify alone.
FullSimplify
Simplify
Thanks, Dear Gianluca!