{25}^{n + 1} + 100 = {5}^{2n - 1 }

Question

 {25}^{n + 1}  + 100 =  {5}^{2n - 1 }

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Charlie 7 hours 2021-11-25T04:02:55+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-11-25T04:03:57+00:00

    Step-by-step explanation:

    On grouping the powered terms we get,

    100=5^{2 n-1}-25^{n-1}100=5

    2n−1

    −25

    n−1

    100=\frac{25^{n}}{5}-\frac{25^{n}}{25}100=

    5

    25

    n

    25

    25

    n

    Taking 25^{n}25

    n

    as common we get,

    100=25^{n} \times \frac{4}{25}100=25

    n

    ×

    25

    4

    \frac{100 \times 25}{4}=25^{n}25^{2}=25^{n}

    4

    100×25

    =25

    n

    25

    2

    =25

    n

    n=2

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