Q:

Rewrite the given expression in the form 3^u where u is a constant or an algebraic expression.(5√3)^xRewrite the expression in the form 2^u where u is an algebraic expression(1/2)^x-3Rewrite the expression in the form 2 Superscript u where u is an algebraic expression9/3√3Rewrite the expression in the form 2 Superscript u where u is an algebraic expression16/3√2^x

Accepted Solution

A:
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