Question 1022756
<pre>
It can only be done with logs, or with a graphing calculator.
It is an irrational solution.

{{{2^d}}}{{{""=""}}}{{{261738831360}}}

Take logs of both sides

{{{log((2^d))}}}{{{""=""}}}{{{log((261738831360))}}}

Move exponent in front of log:

{{{d*log((2))}}}{{{""=""}}}{{{log((261738831360))}}}

{{{d}}}{{{""=""}}}{{{log((261738831360))/log((2))}}}

{{{d}}}{{{""=""}}}{{{"37.929337021087790823782904796435040196056011805078007454686197595158969449494842354971047266220807449720166365445810183634018133488689574316117578323238921074601327963028945120163943099792980368334307903650644025316295316486198"}}}...

Edwin</pre>