Subject

    গাণিতিক যুক্তি

    Topic

    সূচক ও লগারিদম

    logax = 1, logay = 2 হলে, logaz = 3  হলে, loga(x3    y2    z)(\frac{{{x^{3\;}}\;{y^{2\;}}\;}}{z}) এর মান কত ?

    ক)
    1
    খ)
    2
    গ)
    4
    ঘ)
    5

    Explanation

    log a x = n  x = a n log a x = 1  a 1 = x    x = a 1 = a log a y = 2  a 2 = y  y = a 2 log a z = 3  a 3 = z     z = a 3 log a (x3    y2    z)(\frac{{{x^{3\;}}\;{y^{2\;}}\;}}{z}) = log a (x3    y2    z)(\frac{{{x^{3\;}}\;{y^{2\;}}\;}}{z}) = log a a 4 = 4 log a a = 4 × \times 1 = 4

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