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logx(27)x=2,5 equation

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Numerical solution:

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The solution

You have entered [src]
log(x)*27*x = 5/2
$$x 27 \log{\left(x \right)} = \frac{5}{2}$$
The graph
Sum and product of roots [src]
sum
 W(5/54)
e       
$$e^{W\left(\frac{5}{54}\right)}$$
=
 W(5/54)
e       
$$e^{W\left(\frac{5}{54}\right)}$$
product
 W(5/54)
e       
$$e^{W\left(\frac{5}{54}\right)}$$
=
 W(5/54)
e       
$$e^{W\left(\frac{5}{54}\right)}$$
exp(LambertW(5/54))
Rapid solution [src]
      W(5/54)
x1 = e       
$$x_{1} = e^{W\left(\frac{5}{54}\right)}$$
x1 = exp(LambertW(5/54))
Numerical answer [src]
x1 = 1.08876466198216
x1 = 1.08876466198216