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5 July, 03:01

Rewrite the given expression in the form 3^u where u is a constant or an algebraic expression.

(5√3) ^x

Rewrite the expression in the form 2^u where u is an algebraic expression

(1/2) ^x-3

Rewrite the expression in the form 2 Superscript u where u is an algebraic expression

9/3√3

Rewrite the expression in the form 2 Superscript u where u is an algebraic expression

16/3√2^x

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Answers (1)
  1. 5 July, 03:07
    0
    Simplifying the given expressions we proceed as follows:

    (5sqrt3) ^x

    =5^x * (3^1/2) ^x

    =5^x*3^x/2

    =5^x3^u

    where u=x/2

    (1/2) ^ (x-3)

    =1/2^ (x-3)

    =2^ - (3-x)

    =2^u

    where u = - (3-x)

    9/3sqrt (3)

    =3 / (3) ^ (1/2)

    =3 (3) ^ (-1/2)

    16 / (3sqrt (2^x))

    =1/3 * (2^4*2^ (-x/2))

    =1/3*2^ (4-x/2)

    =1/3*2^u

    where:

    u=4-x/2
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