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anonymous

  • 5 years ago

log8 32 = ??

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  1. anonymous
    • 5 years ago
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    is it \[\log_{8} 32 \]

  2. anonymous
    • 5 years ago
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    is that the question bratgirl?

  3. anonymous
    • 5 years ago
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    yes

  4. anonymous
    • 5 years ago
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    are u good with logarithmic math??

  5. anonymous
    • 5 years ago
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    to get the answer, u use property: \[\log_{a} b = \log_{c}b /\log_{c}a \] you let c=10 (use base 10. also called common logarithm)

  6. anonymous
    • 5 years ago
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    it that the easiest wat to do it?

  7. anonymous
    • 5 years ago
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    yes. let me put it this way: \[\log_{8}32=n \implies 8^{n}=32 \] u understand what im doing so far?

  8. anonymous
    • 5 years ago
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    yes and what is next?

  9. anonymous
    • 5 years ago
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    \[8^{n}=32 \implies \ln 8^{n} = \ln32 \implies n \ln8= \ln32\]

  10. anonymous
    • 5 years ago
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    therefore: \[n= \ln 32 / \ln 8\]

  11. anonymous
    • 5 years ago
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    \[n= \ln 2^{5}/ \ln 2^{3} = 5\ln 2/3\ln2= 5/3.\]

  12. anonymous
    • 5 years ago
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    this is the other way to solve it but a bit longer. better use the property i gave u earlier.

  13. anonymous
    • 5 years ago
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    thank you

  14. anonymous
    • 5 years ago
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    hope it helps u understanding logarithm

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