Originally Posted by mastermin346
Now, convince your self that
Hmmmm, well here is the answer...
...and it's an ugly complex number, what do you know.
>> syms x;
>> solve('8^(2*x-3) = (4^x + 2)^(-1/2)')
((log(2)*log(2, z))/2 + pi*i*k)/log(2)