3x-xln(x)=lne^5

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Solution for 3x-xln(x)=lne^5 equation:


Simplifying
3x + -1xln(x) = lne5

Multiply lnx * x
3x + -1lnx2 = lne5

Reorder the terms:
-1lnx2 + 3x = lne5

Solving
-1lnx2 + 3x = e5ln

Solving for variable 'l'.

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

Add '-1e5ln' to each side of the equation.
-1lnx2 + -1e5ln + 3x = e5ln + -1e5ln

Reorder the terms:
-1e5ln + -1lnx2 + 3x = e5ln + -1e5ln

Combine like terms: e5ln + -1e5ln = 0
-1e5ln + -1lnx2 + 3x = 0

Add '-3x' to each side of the equation.
-1e5ln + -1lnx2 + 3x + -3x = 0 + -3x

Combine like terms: 3x + -3x = 0
-1e5ln + -1lnx2 + 0 = 0 + -3x
-1e5ln + -1lnx2 = 0 + -3x
Remove the zero:
-1e5ln + -1lnx2 = -3x

Combine like terms: -3x + 3x = 0
-1e5ln + -1lnx2 + 3x = 0

The solution to this equation could not be determined.

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