Math, asked by snehadb274, 6 months ago

please it is urgent ​

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Answered by Anonymous
1

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\frac{9^x\cdot \:3^5\cdot \:27^3}{3\cdot \:81^4}=27

\frac{9^x\cdot \:3^{5-1}\cdot \:27^3}{81^4}=27

9^x\cdot \:3^{5-1}\cdot \:27^3\cdot \:81^{-4}=27

9^x=\frac{27}{3^{5-1}\cdot \:27^3\cdot \:81^{-4}}

9^x = \frac{3^3\cdot3^{16}}{3^4\cdot3^9}

9^x = \frac{3^{19}}{3^{13}}

9^x = 3^6

9^x = 9^3

x = 3

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Answered by Anonymous
1

Step-by-step explanation:

  • (9^x×3×27³)/3×81=27
  • (3^2x×3×3)/3¹×3¹=3³
  • (3^2x+5+9)/3¹+¹=3³

using identity

  • /=-¹

  • (3)^2x+5+9-17=3³

the bases are same ,their exponent must be equal

  • 2x+5+9-17=3
  • 2x+14-17=3
  • 2x-3=3
  • 2x=3+3
  • 2x=6
  • x=6/2
  • x=3
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