(x2/5)n For what value of n, written as a decimal, will the expression equal x?

Question

(x2/5)n

For what value of n, written as a decimal, will the expression equal x?

in progress 0
RobertKer 3 years 2021-08-06T16:37:27+00:00 1 Answers 16 views 0

Answers ( )

  1. Philomena
    0
    2021-08-06T16:39:15+00:00
    Reply

    Given:

    The expression is:

    \left(x^{\frac{2}{5}\right)^n

    To find:

    The decimal value of n so that the value of the given expression is equal to x.

    Solution:

    We have,

    \left(x^{\frac{2}{5}\right)^n

    This expression is equal to x.

    \left(x^{\frac{2}{5}\right)^n=x

    x^{\frac{2}{5}n}=x^1                     [\because (a^m)^n=a^{mn}]

    On comparing the exponents, we get

    \dfrac{2}{5}n=1

    2n=5

    n=\dfrac{5}{2}

    n=2.5

    Therefore, the required value of n is 2.5.

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )