anonymous
  • anonymous
How do you solve 4^x=20
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Are you supposed to use a calculator for this problem or not?
anonymous
  • anonymous
It would be hard to do without. I know I can't do logarithms in my head.
anonymous
  • anonymous
Well it's possible that her instructor doesn't want an exact answer. That's why I'm curious.

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anonymous
  • anonymous
The calculator is allowed.
anonymous
  • anonymous
Ok. Your going to convert to a logarithm. A log means that: the BASE of the log TO THE POWER of the ANSWER of the LOG will equal the number that's in ur log.
anonymous
  • anonymous
But what your going to have to do is the change of base formula.
anonymous
  • anonymous
Do you know how to do that?
anonymous
  • anonymous
no
anonymous
  • anonymous
ok. So what we're going to have after you convert to the form of the log is \[\log_{4} 20 = x\]
anonymous
  • anonymous
To find the answer of this we need to use the change of base formula. The change of base formula says that you take the log of your argument (20) and divide it by the log of your base (4).
anonymous
  • anonymous
When you do this, you should get the correct answer. But check to be sure if possible.

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