8th Class Mathematics Logarithms Question Bank Logarithms

  • question_answer The value of \[\mathbf{1}{{\mathbf{6}}^{\mathbf{lo}{{\mathbf{g}}_{\mathbf{4}}}}}^{\mathbf{5}}\] is:

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

    B)  5              

    C)  16                               

    D)  25

    Correct Answer: D

    Solution :

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

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