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anonymous

  • 5 years ago

 Given log b 3 = 0.8397 and log b 7 = 1.4873, evaluate log b 3b

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  1. amistre64
    • 5 years ago
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    can you make that more readable?

  2. Yuki
    • 5 years ago
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    \[\log_b 3b \]

  3. anonymous
    • 5 years ago
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    i dont know how to write it but it was the way yuki write

  4. Yuki
    • 5 years ago
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    can be split into two parts, \[\log_b 3 + \log_b b\]

  5. anonymous
    • 5 years ago
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    I don't understand why you need all of those logs. \[\log_{b} (3) = 0.8397\] \[\log_{b} (7) = 1.4873\] \[\log_{b} (3b) = 3\]

  6. Yuki
    • 5 years ago
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    the left one is given and the right one is equal to 1

  7. Yuki
    • 5 years ago
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    so\[\log_b 3b = 1.8397\]

  8. Yuki
    • 5 years ago
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    you just need to remember the fact that log (a * b) = log(a) + log(b) and \[\log_c (c) = 1\]

  9. Yuki
    • 5 years ago
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    does that help at all ?

  10. Yuki
    • 5 years ago
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    hellomoto?

  11. anonymous
    • 5 years ago
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    thank you very much yuki

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