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(x±a)(x±b) = x²±(a+b)x+ab.

If 4 x-4 x-1=...

Question

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

(a) $5 \sqrt{5}$

(b) $\sqrt{5}$

(c) $25 \sqrt{5}$

(d) 125

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Solution

We have to find the value of if

So,

Taking as common factor we get

By equating powers of exponents we get

By substituting in we get

Hence the correct choice is

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Similar questions

If $4^{x} - 4^{x - 1} = 24, t h e n (2 x)^{x}$ equals

4^{x} - 4^{x - 1} = 24

(2 x)^{x}

4^{x} - 4^{x - 1} = 24,

then the value of

(2 x)^{x}

4^{x} - 4^{x - 1} = 24

, then the value of

(2 x)^{x}

4^{x} - 4^{x - 1} = 24

then find the value of

(2 x)^{x} .

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(x±a)(x±b) = x²±(a+b)x+ab.

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