Ln(x^2-5x)-lnx=0

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Solution for Ln(x^2-5x)-lnx=0 equation:


Simplifying
Ln(x2 + -5x) + -1lnx = 0

Reorder the terms:
nL(-5x + x2) + -1lnx = 0
(-5x * nL + x2 * nL) + -1lnx = 0
(-5nxL + nx2L) + -1lnx = 0

Reorder the terms:
-1lnx + -5nxL + nx2L = 0

Solving
-1lnx + -5nxL + nx2L = 0

Solving for variable 'l'.

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

Add '5nxL' to each side of the equation.
-1lnx + -5nxL + 5nxL + nx2L = 0 + 5nxL

Combine like terms: -5nxL + 5nxL = 0
-1lnx + 0 + nx2L = 0 + 5nxL
-1lnx + nx2L = 0 + 5nxL
Remove the zero:
-1lnx + nx2L = 5nxL

Add '-1nx2L' to each side of the equation.
-1lnx + nx2L + -1nx2L = 5nxL + -1nx2L

Combine like terms: nx2L + -1nx2L = 0
-1lnx + 0 = 5nxL + -1nx2L
-1lnx = 5nxL + -1nx2L

Divide each side by '-1nx'.
l = -5L + xL

Simplifying
l = -5L + xL

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