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Math Help - Need more help understanding logarithm prob.

  1. #1
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    Need more help understanding logarithm prob.

    log 4 – log 400,000 =

    and thank you soroban
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  2. #2
    Member Henderson's Avatar
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    log(4) - log(400,000)
    =log(4) - log(4*100,000)
    =log(4) - (log(4) + log(100,000))
    =log(4) - log(4) - log(100,000)
    = -log(100,000)
    = -5
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  3. #3
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    Hello again, eebjr!

    Yet another approach . . .


    Simplify: . \log(4) - \log(400,\!000)

    \log(4) - \log(400,\!000) \;=\;\log\left(\frac{4}{400,\!000}\right) \;= \;\log\left(\frac{1}{100,000}\right) \;=\;\log\left(\frac{1}{10^5}\right)


    . . = \;\log\left(10^{-5}\right) \;=\;-5\cdot\underbrace{\log(10)}_{\text{This is 1}} \;=\; -5\cdot1 \;=\;-5<br /> <br />

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