Question 130716
<pre>
I have tried to  figure this equation but it doesn't come out with the right answer. Please can you help me?

9^x = 1/3sqrt 3
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It would've been NICE if you'd posted your work! Then, one would've been able to point out your error(s), or
you may've been able to identify it/them, yourself.
   {{{9^x = (1/3)sqrt(3)}}}
{{{matrix(2,1, " ", (3^2)^x = (3^(- 1))(3^(1/2)))}}} ----- Converting all expressions to base 3
{{{matrix(2,1, " ", 3^(2x) = 3^((- 1 + 1/2)))}}}
{{{matrix(2,1, " ", 3^(2x) = 3^(- 1/2))}}}
  {{{2x = - 1/2}}} ---- EQUATING exponents, since bases are equal
   4x = - 1 --- Cross-multiplying  
   {{{highlight(x = - 1/4)}}}</pre>