lnx=2lnx+lnc

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Solution for lnx=2lnx+lnc equation:


Simplifying
lnx = 2lnx + lnc

Reorder the terms:
lnx = cln + 2lnx

Solving
lnx = cln + 2lnx

Solving for variable 'l'.

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

Add '-1cln' to each side of the equation.
-1cln + lnx = cln + -1cln + 2lnx

Combine like terms: cln + -1cln = 0
-1cln + lnx = 0 + 2lnx
-1cln + lnx = 2lnx

Add '-2lnx' to each side of the equation.
-1cln + lnx + -2lnx = 2lnx + -2lnx

Combine like terms: lnx + -2lnx = -1lnx
-1cln + -1lnx = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
-1cln + -1lnx = 0

Factor out the Greatest Common Factor (GCF), '-1ln'.
-1ln(c + x) = 0

Ignore the factor -1.

Subproblem 1

Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(c + x)' equal to zero and attempt to solve: Simplifying c + x = 0 Solving c + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-1c' to each side of the equation. c + -1c + x = 0 + -1c Combine like terms: c + -1c = 0 0 + x = 0 + -1c x = 0 + -1c Remove the zero: x = -1c Add '-1x' to each side of the equation. x + -1x = -1c + -1x Combine like terms: x + -1x = 0 0 = -1c + -1x Simplifying 0 = -1c + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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