ln(5x+7)=ln(4x+4)

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Solution for ln(5x+7)=ln(4x+4) equation: 


Simplifying
ln(5x + 7) = ln(4x + 4)

Reorder the terms:
ln(7 + 5x) = ln(4x + 4)
(7 * ln + 5x * ln) = ln(4x + 4)
(7ln + 5lnx) = ln(4x + 4)

Reorder the terms:
7ln + 5lnx = ln(4 + 4x)
7ln + 5lnx = (4 * ln + 4x * ln)
7ln + 5lnx = (4ln + 4lnx)

Solving
7ln + 5lnx = 4ln + 4lnx

Solving for variable 'l'.

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

Add '-4ln' to each side of the equation.
7ln + -4ln + 5lnx = 4ln + -4ln + 4lnx

Combine like terms: 7ln + -4ln = 3ln
3ln + 5lnx = 4ln + -4ln + 4lnx

Combine like terms: 4ln + -4ln = 0
3ln + 5lnx = 0 + 4lnx
3ln + 5lnx = 4lnx

Add '-4lnx' to each side of the equation.
3ln + 5lnx + -4lnx = 4lnx + -4lnx

Combine like terms: 5lnx + -4lnx = 1lnx
3ln + 1lnx = 4lnx + -4lnx

Combine like terms: 4lnx + -4lnx = 0
3ln + 1lnx = 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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