9th Class Mathematics Related to Competitive Exam Question Bank Logarithms

  • question_answer
    The value of \[{{16}^{{{\log }_{4}}5}}\]is:

    A)  \[\frac{5}{64}\]                            

    B)  5

    C)  16                               

    D)  25

    Correct Answer: D

    Solution :

    (d):  \[\therefore {{16}^{{{\log }_{4}}5}}={{\left( {{4}^{2}} \right)}^{lo{{g}_{4}}5}}={{4}^{2lo{{g}_{1}}5}}={{4}^{lo{{g}_{4}}({{5}^{2}})}}\] \[={{4}^{{{\log }_{4}}25}}=25.\]


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