Math, asked by SadUmama, 2 days ago

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Answered by AAYANISRAIL
1

Answer:

ANSWER

Given :-

Equation:-

 { (\frac{4}{9} })^{x}  \times ( { \frac{3}{2} })^ {- 1}  =  \frac{8}{27}

Solution:-

 { (\frac{4}{9} })^{x}  \times ( { \frac{3}{2} })^ {- 1}  =  \frac{8}{27}  \\ ( \frac{8}{18}  {)}^{x} \times ( \frac{27}{18} {)}^{ - 1}  =  \frac{8}{27}  \\  (\frac{8}{18}  ){}^{x}  \times  (\frac{18}{27}  {)}^{1}  =  \frac{8}{27}  \\  (\frac{8}{27} )x =  \frac{8}{27}  \\ x = 1

FINAL ANSWER

x = 1

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