anonymous
  • anonymous
Solve: 12^2x=1000
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Is it \[ 12^2 x = 1000 \] or \[ 12^{2x} = 1000 \]
anonymous
  • anonymous
the second one
anonymous
  • anonymous
You are going to to need to use log's to change the base of each side to be 12 (or 144). This will allow you to pull out the 2x (or x) and then you can solve for x.

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anonymous
  • anonymous
Do you know how to do this?
anonymous
  • anonymous
sorta xD
anonymous
  • anonymous
Also I missspoke (typed?) you dont need to change the base, you can do this with just logs.
anonymous
  • anonymous
Well you know that \[ Y^a = a* log(Y) \] right? So start by finding out what 12^2 is (because 12^(2x) = ((12^2)^x) ) Then you will need to take the log of both sides so you will get xlog(Y) = log(Z). Then divide by the log(Y), and if you need to simplify use the other properties of logs to factor it.
anonymous
  • anonymous
thanks :) that made a lot of sense
anonymous
  • anonymous
no problem.

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