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2^(3*(x-1/x))*3^x=3

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2^(3*(x-1/x))*3^x=3

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2^(3*(x-1/x))*3^x=3 equation

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Numerical solution:

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The solution

You have entered [src]
   /      1\       
 3*|x - 1*-|       
   \      x/  x    
2           *3  = 3
$$2^{3 \left(x - 1 \cdot \frac{1}{x}\right)} 3^{x} = 3$$
The graph
Rapid solution [src]
x_1 = 1
$$x_{1} = 1$$
      -3*log(2)
x_2 = ---------
       log(24) 
$$x_{2} = - \frac{3 \log{\left(2 \right)}}{\log{\left(24 \right)}}$$
Sum and product of roots [src]
sum
    -3*log(2)
1 + ---------
     log(24) 
$$\left(1\right) + \left(- \frac{3 \log{\left(2 \right)}}{\log{\left(24 \right)}}\right)$$
=
    3*log(2)
1 - --------
    log(24) 
$$- \frac{3 \log{\left(2 \right)}}{\log{\left(24 \right)}} + 1$$
product
    -3*log(2)
1 * ---------
     log(24) 
$$\left(1\right) * \left(- \frac{3 \log{\left(2 \right)}}{\log{\left(24 \right)}}\right)$$
=
-3*log(2)
---------
 log(24) 
$$- \frac{3 \log{\left(2 \right)}}{\log{\left(24 \right)}}$$
Numerical answer [src]
x1 = 1.0
x2 = -0.654312875956595
x2 = -0.654312875956595
The graph
2^(3*(x-1/x))*3^x=3 equation