2ln(x-2)=ln(9)

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Solution for 2ln(x-2)=ln(9) equation: 


Simplifying
2ln(x + -2) = ln(9)

Reorder the terms:
2ln(-2 + x) = ln(9)
(-2 * 2ln + x * 2ln) = ln(9)
(-4ln + 2lnx) = ln(9)

Reorder the terms for easier multiplication:
-4ln + 2lnx = 9ln

Solving
-4ln + 2lnx = 9ln

Solving for variable 'l'.

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

Add '-9ln' to each side of the equation.
-4ln + -9ln + 2lnx = 9ln + -9ln

Combine like terms: -4ln + -9ln = -13ln
-13ln + 2lnx = 9ln + -9ln

Combine like terms: 9ln + -9ln = 0
-13ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-13 + 2x) = 0


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 '(-13 + 2x)' equal to zero and attempt to solve:

Simplifying
-13 + 2x = 0

Solving
-13 + 2x = 0

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

Add '13' to each side of the equation.
-13 + 13 + 2x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 2x = 0 + 13
2x = 0 + 13

Combine like terms: 0 + 13 = 13
2x = 13

Add '-2x' to each side of the equation.
2x + -2x = 13 + -2x

Combine like terms: 2x + -2x = 0
0 = 13 + -2x

Simplifying
0 = 13 + -2x

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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