Question 1150081
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The left side is  {{{(b/a)^(1/2+1/4+1/8)}}}.


The right side is  {{{(b/a)^x}}}.


From the equation,  x = {{{1/2+1/4+1/8}}} = {{{4/8+2/8+1/8}}} = {{{7/8}}}.    <U>ANSWER</U>
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Solved.