lgg23
  • lgg23
Solve for x: (9/7)log base 2 of x = -9
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
First get the log function by itself: \[\frac {7}{9}*\frac {9}{7} *\log_{2}(x)=\frac{-9}{1}*\frac {7}{9}\]
lgg23
  • lgg23
i got it. the answer is 1/128
anonymous
  • anonymous
Good. Out of curiousity did you use a calculator or convert to base ten logs first?

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lgg23
  • lgg23
Since the problem can be translated to \[\log_{2} x^{9/7}=9\]. I changed it to exponential form and got \[2^{9} = x^{9/7}\]
lgg23
  • lgg23
then i got rid of the exponents by raising them to the reciprocal of that 9/7 and got (2^-7)=x and simplified
anonymous
  • anonymous
Very nice - I like your method more. :-)
lgg23
  • lgg23
Thank you.
anonymous
  • anonymous
Just as it should be solved, exploit those log rules!! ;)

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