In gmane.comp.mathematics.sage.support, you wrote:
>
> Dear Sage Developers:
>
> There seems to be a similar issue in Sage Version 4.8:
>
>    sage: a=log(6)/(1+log(2))
>    sage: (6*exp(-a)-2^a).full_simplify()
>    -(2^(log(3)/(log(2) + 1) + 1/(log(2) + 1))*3^(1/(log(2) + 
> 1))*e^(log(2)^2/(log(2) + 1)) - 6)/(2^(1/(log(2) + 1))*3^(1/(log(2) + 1)))
>    sage: (6*exp(-a)/2^a).simplify_full()
>    2^(log(2/3)/(log(2) + 1))*3^(log(2)/(log(2) + 1))*e^(-log(2)^2/(log(2) + 
> 1))

Sage calls Maxima to do such kinds of computations. If one uses Maxima
on these expressions directly, it does not come up any better than that.
(Or perhaps one needs to know more about Maxima than I do).

Best,
Dmitrii

>
> Sincerely,
> Greg Marks
>

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