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log [ a^3\/ab / (ab^2) ]
--> in words this is, log(a to the power 3 times by the square root of ab divided by (a times b to the power of two)
please show the full steps

  • logarithms -

    You posted an expression, but no question.

  • math -

    The question is to evaluate the following.

  • math -

    You can simplify log((a^3)sqrt(ab)/(ab^2)) to log((a^2.5)/(b^1.5)).

    = 2.5log(a) - 1.5log(b)

    But you cannot evaluate this without knowing log(a) and log(b).

  • math -

    how did u get 2.5 and 1.5

  • math -

    Sorry, the question asked was to Simplify the following.

  • math -

    shouldnt the answer be simplified to 1.5loga-1.5logb and not 2.5loga ? could u explain why it is 2.5

  • math -

    log [ a^3(ab)^1/2 / (ab^2) ]
    = log (a^2.5 * b^-1.5]
    = 2.5 log a - 1.5 log b

    Sam is correct. Just use the rules for adding and subtracting exponents when multiplying and dividing.

  • math -

    1.5loga-1.5logb so this is correct?

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