7ln(x-2)-12lnx=

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Solution for 7ln(x-2)-12lnx= equation: 


Simplifying
7ln(x + -2) + -12lnx = 0

Reorder the terms:
7ln(-2 + x) + -12lnx = 0
(-2 * 7ln + x * 7ln) + -12lnx = 0
(-14ln + 7lnx) + -12lnx = 0

Combine like terms: 7lnx + -12lnx = -5lnx
-14ln + -5lnx = 0

Solving
-14ln + -5lnx = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), '-1ln'.
-1ln(14 + 5x) = 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 '(14 + 5x)' equal to zero and attempt to solve:

Simplifying
14 + 5x = 0

Solving
14 + 5x = 0

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

Add '-14' to each side of the equation.
14 + -14 + 5x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 5x = 0 + -14
5x = 0 + -14

Combine like terms: 0 + -14 = -14
5x = -14

Add '-5x' to each side of the equation.
5x + -5x = -14 + -5x

Combine like terms: 5x + -5x = 0
0 = -14 + -5x

Simplifying
0 = -14 + -5x

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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