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

Question

Mathematics

Darian Blake

11 September, 01:08

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

+5

Answers (1)

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Rey · Answer 1

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