Math, asked by nethraeval, 2 months ago

find value of x : (3/5) square x (5 /3) ²x= 125 / 27​

Answers

Answered by attatalal689
0

Answer:

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Answered by ManishShah98
14

question = ( \frac{3}{5} ) {}^{2}  \times ( \frac{5}{3} ) {}^{2x}  =  \frac{125}{27}  \\ find \: the \: value \: of \: x . \\  \\ solution \\  \\ ( \frac{3}{5} ) {}^{2}  \times ( \frac{5}{3} ) {}^{2x}  =  \frac{125}{27}  \\  \\ ( \frac{5}{3} ) {}^{ - 2}  \times ( \frac{5}{3} ) {}^{2x}  =  (\frac{5}{3} )  {}^{3} \\  \\ ( \frac{5}{3} ) {}^{ (- 2 + 2x)} = ( \frac{5}{3} ) {}^{3}  \\  \\  - 2 + 2x = 3 \\  \\ 2x = 3 + 2 \\  \\ 2x = 5 \\  \\ x =  \frac{5}{2}  = 2.5 \:  \:  \: is \: the \: answer \\

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