Subject

    গাণিতিক যুক্তি

    Topic

    সূচক ও লগারিদম

    loga(32)(\frac{3}{2}) = −12 - \frac{1}{2} হলে, x -এর মান কত ?

    ক)
    \(\frac{4}{9}\)
    খ)
    \(\frac{9}{4}\)
    গ)
    \(\sqrt {\frac{3}{2}} \)
    ঘ)
    \(\sqrt {\frac{2}{3}} \)

    Explanation

    log x (32)(\frac{3}{2}) = -12\frac{1}{2}  = x 12\frac{1}{2} =32\frac{3}{2}  =1x12\frac{1}{{{x^{\frac{1}{2}}}}} =32\frac{3}{2} =1x\frac{1}{{\sqrt x }} =32\frac{3}{2}     =x\sqrt x =23\frac{2}{3}      =x =(23)(\frac{2}{3}) 2 x = 49\frac{4}{9}

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