anonymous
  • anonymous
If (44)x = 432, what is the value of x? 4 7 8 28
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[4^{4})x = 4^{32}\]
Michele_Laino
  • Michele_Laino
is your equation like this? \[\Large {44^x} = 432\]
anonymous
  • anonymous
no its like the one i just wrote in there

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Michele_Laino
  • Michele_Laino
sorry!
anonymous
  • anonymous
its okay (:
anonymous
  • anonymous
x=8
anonymous
  • anonymous
your not supposed to give the answer
Michele_Laino
  • Michele_Laino
then we have to divide both sides by 4^4, so we get: \[\Large \frac{{{4^4}x}}{{{4^4}}} = \frac{{{4^{32}}}}{{{4^4}}}\] please simplify
anonymous
  • anonymous
32/ 4 = 8 s therefore x=8
anonymous
  • anonymous
you have to multiply the exponents that are 4 and x and make them equal to 32 4*x=32 x=32/4 x=8
Michele_Laino
  • Michele_Laino
hint: \[\Large \begin{gathered} \frac{{{4^4}}}{{{4^4}}} = {4^4}:{4^4} = {4^{4 - 4}} = {4^0} = ... \hfill \\ \hfill \\ \frac{{{4^{32}}}}{{{4^4}}} = {4^{32}}:{4^4} = {4^{32 - 4}} = ...? \hfill \\ \end{gathered} \]
anonymous
  • anonymous
michele the answer is x=8 i already got it
Michele_Laino
  • Michele_Laino
ok! then your equation is: \[\Large {4^{4x}} = {4^{32}}\]
anonymous
  • anonymous
so the answer is 8
Michele_Laino
  • Michele_Laino
good job! @ana123456
Michele_Laino
  • Michele_Laino
correct!

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