0.5=x*lnx

Solution for 0.5=x*lnx equation:

Simplifying
0.5 = x * lnx

Multiply x * lnx
0.5 = lnx2

Solving
0.5 = lnx2

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '-1lnx2' to each side of the equation.
0.5 + -1lnx2 = lnx2 + -1lnx2

Combine like terms: lnx2 + -1lnx2 = 0
0.5 + -1lnx2 = 0

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -1lnx2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1lnx2 = 0 + -0.5
-1lnx2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-1lnx2 = -0.5

Divide each side by '-1nx2'.
l = 0.5n-1x-2

Simplifying
l = 0.5n-1x-2