anonymous
  • anonymous
Logarithm Question!!!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
What's the question?
anonymous
  • anonymous
\[\log_{4}0.125 \] ... evaluate without a calculator
anonymous
  • anonymous
Oh, that's simple. Do you know how to do base change?

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anonymous
  • anonymous
no base change allowed
anonymous
  • anonymous
You divide (log(0.125)/(log(4))
anonymous
  • anonymous
There is really no other way to enter it in a calculator
zepdrix
  • zepdrix
So the log equals some unknown quantity, let's call it x. \[\large \log_{4} 0.125=x\] Do you know how to rewrite this as an exponential?
anonymous
  • anonymous
Oh, sorry, I didn't notice the no calculator allowed. Okay....
anonymous
  • anonymous
i got it though.... i'll show you the method and tell me if its right
anonymous
  • anonymous
\[-\log_{4} 8\] then \[-(\log_{4}2 + \log_{4}4)\] then -(0.5 +1) then -1.5
zepdrix
  • zepdrix
Hmm yah I suppose that works! :) That's a little different than how I would have done it. But it get's you familiar with log rules, so that's good :D
geerky42
  • geerky42
0.125 = 1/8 and let \(x = \log_4\dfrac{1}{8}\) Convert it to exponent form, then find x
zepdrix
  • zepdrix
Yah that was the other way c: hehe Either way though!
geerky42
  • geerky42
Yeah, just saying.

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