anonymous
  • anonymous
(sqrt of 2)^(x+4)=4^x How do I get the bases to be the same?
Mathematics
katieb
  • katieb
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myininaya
  • myininaya
4=(sqrt(2))^4
myininaya
  • myininaya
(sqrt(2))^(x+4)=(sqrt(2))^(4x)
myininaya
  • myininaya
so x+4=4x

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anonymous
  • anonymous
I don't understand what you did there.
myininaya
  • myininaya
since the bases are the same, the exponents have to be the same
anonymous
  • anonymous
Oh, you just simplified the 4 into sqrt of 2^4 before including the exponents?
myininaya
  • myininaya
yes becauce sqrt(2)*sqrt(2)*sqrt(2)*sqrt(2)=4
myininaya
  • myininaya
so both sides would have the same base
anonymous
  • anonymous
Okay great, that I understand :D I can do the rest, thank you very much :D
myininaya
  • myininaya
you're welcome
anonymous
  • anonymous
so x=4/3 then?
anonymous
  • anonymous
Yes, that is right :D
myininaya
  • myininaya
correct!

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