0=ln(3x-7)

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Solution for 0=ln(3x-7) equation: 


Simplifying
0 = ln(3x + -7)

Reorder the terms:
0 = ln(-7 + 3x)
0 = (-7 * ln + 3x * ln)
0 = (-7ln + 3lnx)

Solving
0 = -7ln + 3lnx

Solving for variable 'l'.

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

Add '7ln' to each side of the equation.
0 + 7ln = -7ln + 7ln + 3lnx
Remove the zero:
7ln = -7ln + 7ln + 3lnx

Combine like terms: -7ln + 7ln = 0
7ln = 0 + 3lnx
7ln = 3lnx

Add '-3lnx' to each side of the equation.
7ln + -3lnx = 3lnx + -3lnx

Combine like terms: 3lnx + -3lnx = 0
7ln + -3lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(7 + -3x) = 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 '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Add '3x' to each side of the equation.
-3x + 3x = -7 + 3x

Combine like terms: -3x + 3x = 0
0 = -7 + 3x

Simplifying
0 = -7 + 3x

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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