Question 1148424
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<pre>

You are given  

   {{{(1/2)^(x+1)}}} = {{{2^(3x-2)}}}.



From the given equation,


    x+1 = -(3x-2)


    x + 1 = -3x + 2

    x + 3x = 2 - 1

    4x     = 1

     x     = {{{1/4}}}.    <U>ANSWER</U>
</pre>

Solved.