Question

19. If 4^x - 4^x-1 = 24, then (2x)^x equals​

Answer 1

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Answer:

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#Here's ur answer...☆☆☆

Step-by-step explanation:

${4}^{x} - {4}^{x - 1} = 24 \\ = > {4}^{x} - \frac{ {4}^{x} }{4} = 24 \\ = > {4}^{x} ( 1 - \frac{1}{4} ) = 24 \\ = > {4}^{x} ( \frac{3}{4} ) = 24 \\ = > {4}^{x} = \frac{24 \times 4}{3} = 32 \\ = > {2}^{2x} = {2}^{5} \\ = > 2x = 5 \\ = > x = \frac{5}{2} (ans)$

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