Q. 19

# If 4^{x} – 4^{x}^{-1} = 24, then (2*x*)^{x} equals

A. 5

B.

C. 25

D. 125

^{x}

^{x}

^{x}

Answer :

4^{x} – 4^{x – 1} = 24

Let 4x = y

y - = 24

4y – y = 96

y = 32

4^{x} = 32

2^{2x} = 2^{5}

(2x)^{x} = (2 × )^{5/2}

= (5)^{5/2} = 25

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