anonymous
  • anonymous
Solve for x: \frac{ 1 }{ 27 }=9^{7x+3}
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
I will adjust the format.. one moment..
anonymous
  • anonymous
make the bases of 2 sides equal to each other then u can equate the powers and find the value of x.
anonymous
  • anonymous
\[1/27=9^7x+3\]

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anonymous
  • anonymous
u mean\[\frac{ 1 }{ 27 }=9^{7x+3}\]
anonymous
  • anonymous
i get 3^3?
anonymous
  • anonymous
yes, sorry
anonymous
  • anonymous
np :) ... yeah u r close but note that\[\frac{1}{27}=\frac{1}{3^3}=3^{-3}\]
anonymous
  • anonymous
oh of course! got that..
anonymous
  • anonymous
and then make the 9 = 3^2?
anonymous
  • anonymous
yeah...quite right
anonymous
  • anonymous
\[3^{-3}=3^{14x+6}\]
anonymous
  • anonymous
Right...
anonymous
  • anonymous
now go for solving for x
anonymous
  • anonymous
\[-\frac{ 9 }{ 14 }\]
anonymous
  • anonymous
you rock! thanks for the help.. the -3 is what got me! :)
anonymous
  • anonymous
yw :)

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