10th Class Mathematics Related to Competitive Exam Question Bank Algebra

  • question_answer
    The solution of\[{{64}^{2x-5}}=4\times {{8}^{x-5}}\]is

    A)  \[\frac{9}{17}\]                               

    B)  \[\frac{17}{9}\]  

    C)  \[\frac{17}{10}\]                             

    D)         \[\frac{20}{9}\]

    Correct Answer: B

    Solution :

                    \[{{({{2}^{6}})}^{2x-5}}={{2}^{2}}\times {{({{2}^{3}})}^{x-5}}\] or            \[12x-30=2+3x-15\] or            \[9x=17\] or            \[x=\frac{17}{9}\]


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