9th Class Mathematics Related to Competitive Exam Question Bank Logarithms

  • question_answer
    If \[\frac{\log x}{\log y}=\frac{\log 64}{\log 8}\], then the relation between x and \[\gamma \] is.

    A)  \[x=\sqrt{y}\]                          

    B)  \[x={{y}^{3}}\]          

    C)  \[y={{x}^{2}}\]                    

    D)  \[x={{y}^{2}}\]

    Correct Answer: D

    Solution :

    (d) (i) use the identity \[\frac{\log a}{\log b}=\text{ }lo{{g}_{b}}a\] (ii) \[\frac{\log x}{\log y}=2\Rightarrow lo{{g}_{y}}x=2\] (iii) \[lo{{g}_{b}}a=n\Rightarrow a={{b}^{n}}\]


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