Math, asked by srishti6257, 2 months ago

please tell me the answer​

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Answered by nishthagupta41
1

Step-by-step explanation:

 {( \frac{7}{4}) }^{3x - 2}  =  {( \frac{7}{4})}^{7}  \times  {( \frac{7}{4} )}^{3}  \\  {( \frac{7}{4}) }^{3x - 2} =  {( \frac{7}{4}) }^{7 + 3} \\  {( \frac{7}{4}) }^{3x - 2} =  {( \frac{7}{4}) }^{10} \\  =  > when \: the \: bases \: are \: same \: we \: equate \: powers \\  =  > 3x - 2 = 10 \\ 3x = 10 + 2 \\ 3x = 12 \\ x =  \frac{12}{3}  \\  =x = 4

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