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Algebra help

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If loga 8=2.079, loga 5=1.609, and loga 3=1.099, find the following?

19.) loga 8/3 is this 1.89?

20.) loga 24 Not sure

21.) loga 25 not sure how to do this

  • Algebra help -

    make use of your main "log rules"

    log (8/3) = log 8 - log 3 = 2.079 - 1.099
    = 0.98

    log 24 = log (3x8) = log 3 + log 8
    = ....

    log 25 = log 5^2
    = 2 log 5
    = ...

  • Algebra help -

    Okay I got it

    log (8/3) = log 8 - log 3 = 2.079 - 1.099
    = 0.98

    log 24 = log (3x8) = log 3 + log 8
    = 3.688

    log 25 = log 5^2
    = 2 log 5
    = 2.138

  • Algebra help -

    great,
    BTW, how would you find 'a' itself?

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