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aceace

  • 3 years ago

Logarithm Question!!!

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  1. zordoloom
    • 3 years ago
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    What's the question?

  2. aceace
    • 3 years ago
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    \[\log_{4}0.125 \] ... evaluate without a calculator

  3. zordoloom
    • 3 years ago
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    Oh, that's simple. Do you know how to do base change?

  4. aceace
    • 3 years ago
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    no base change allowed

  5. zordoloom
    • 3 years ago
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    You divide (log(0.125)/(log(4))

  6. zordoloom
    • 3 years ago
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    There is really no other way to enter it in a calculator

  7. zepdrix
    • 3 years ago
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    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?

  8. zordoloom
    • 3 years ago
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    Oh, sorry, I didn't notice the no calculator allowed. Okay....

  9. aceace
    • 3 years ago
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    i got it though.... i'll show you the method and tell me if its right

  10. aceace
    • 3 years ago
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    \[-\log_{4} 8\] then \[-(\log_{4}2 + \log_{4}4)\] then -(0.5 +1) then -1.5

  11. zepdrix
    • 3 years ago
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    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

  12. geerky42
    • 3 years ago
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    0.125 = 1/8 and let \(x = \log_4\dfrac{1}{8}\) Convert it to exponent form, then find x

  13. zepdrix
    • 3 years ago
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    Yah that was the other way c: hehe Either way though!

  14. geerky42
    • 3 years ago
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    Yeah, just saying.

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