ln*(x+4)=ln*7

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Solution for ln*(x+4)=ln*7 equation: 


Simplifying
ln(x + 4) = ln * 7

Reorder the terms:
ln(4 + x) = ln * 7
(4 * ln + x * ln) = ln * 7
(4ln + lnx) = ln * 7

Reorder the terms for easier multiplication:
4ln + lnx = 7ln

Solving
4ln + lnx = 7ln

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.
4ln + -7ln + lnx = 7ln + -7ln

Combine like terms: 4ln + -7ln = -3ln
-3ln + lnx = 7ln + -7ln

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

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

Simplifying
-3 + x = 0

Solving
-3 + x = 0

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

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

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

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

Add '-1x' to each side of the equation.
x + -1x = 3 + -1x

Combine like terms: x + -1x = 0
0 = 3 + -1x

Simplifying
0 = 3 + -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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