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lemonjuice

  • 2 years ago

Which of the following is equivalent to log 8 35 rounded to three decimal places

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  1. lemonjuice
    • 2 years ago
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    do I need a calculator for this

  2. Calcmathlete
    • 2 years ago
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    Do you mean \(\log_8 35?\)

  3. lemonjuice
    • 2 years ago
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    yes

  4. Calcmathlete
    • 2 years ago
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    Yes. You do need a calculator, but you also need to do something else before you do. Most calculators are programmed to use only base 10 and base e. THerefore, you need to use the change of base formula to plug it into a calculator. \[\log_by = \frac{\log_cy}{\log_cb}\]Knowing this, what would \[\log_8 35\]be?

  5. lemonjuice
    • 2 years ago
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    does it have to be a graphing calculator because I cant find that on mine

  6. Calcmathlete
    • 2 years ago
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    Only has to be a scientific calculator.

  7. lemonjuice
    • 2 years ago
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    I have a TI-15 and cannot find the log button

  8. Calcmathlete
    • 2 years ago
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    Alright. I am unfamiliar with that, so I'm just going to redirect you to wolfram...just make sure that you understand the change of base formula because that's ll this wants you to do. http://www.wolframalpha.com/input/?i=log+35%2Flog+8

  9. lemonjuice
    • 2 years ago
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    ok thx

  10. Calcmathlete
    • 2 years ago
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    np :)

  11. lemonjuice
    • 2 years ago
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    so i is 1.709

  12. robtobey
    • 2 years ago
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    \[8^{(1.7097610056483221518)}=35.00000000000000000 \]

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