Math, asked by pruthviraj1103, 4 months ago

find the vale of x
81x3^x÷3^2x=81​

Answers

Answered by meenamanu135
0

Answer:

81×3^x÷3^2x=81

3^x=3^2x

x+2x=0

3x=0

x=0

Answered by harshitha202034
1

Answer:

x=0

Step-by-step explanation:

 \frac{81 \times  {3}^{x} }{ {3}^{2x} }  = 81 \\   \frac{ {3}^{4} \times  {3}^{x}  }{ {3}^{2x} }  =  {3}^{4}  \\   {3}^{4 + x - 2x}  =  {3}^{4}  \\  {3}^{4 - x}  =  {3}^{4}  \\  {3}^{4 - 4}  =  {3}^{x}  \\  {3}^{0}  =  {3}^{x}  \\  0 = x

Let's verify :

 \frac{81 \times  {3}^{x} }{ {3}^{2x} }  = 81 \\  \frac{81 \times  {3}^{0} }{ {3}^{2 \times 0} }  = 81 \\  \frac{81 \times 1}{ {3}^{0} }  = 81 \\  \frac{81 \times 1}{1}  = 81 \\ 81 = 81

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