Math, asked by haritmehtabsmd, 9 months ago

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

Answers

Answered by Cynefin
2

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Answer:

Hey mate...♥️

#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)

➡️Hope this helps you..

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