ln(2x-1)+ln(2x+1)-ln(7)=0

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Solution for ln(2x-1)+ln(2x+1)-ln(7)=0 equation: 


Simplifying
ln(2x + -1) + ln(2x + 1) + -1ln(7) = 0

Reorder the terms:
ln(-1 + 2x) + ln(2x + 1) + -1ln(7) = 0
(-1 * ln + 2x * ln) + ln(2x + 1) + -1ln(7) = 0
(-1ln + 2lnx) + ln(2x + 1) + -1ln(7) = 0

Reorder the terms:
-1ln + 2lnx + ln(1 + 2x) + -1ln(7) = 0
-1ln + 2lnx + (1 * ln + 2x * ln) + -1ln(7) = 0
-1ln + 2lnx + (1ln + 2lnx) + -1ln(7) = 0

Reorder the terms for easier multiplication:
-1ln + 2lnx + 1ln + 2lnx + -1 * 7ln = 0

Multiply -1 * 7
-1ln + 2lnx + 1ln + 2lnx + -7ln = 0

Reorder the terms:
-1ln + 1ln + -7ln + 2lnx + 2lnx = 0

Combine like terms: -1ln + 1ln = 0
0 + -7ln + 2lnx + 2lnx = 0
-7ln + 2lnx + 2lnx = 0

Combine like terms: 2lnx + 2lnx = 4lnx
-7ln + 4lnx = 0

Solving
-7ln + 4lnx = 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), 'ln'.
ln(-7 + 4x) = 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 + 4x)' equal to zero and attempt to solve:

Simplifying
-7 + 4x = 0

Solving
-7 + 4x = 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 + 4x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 4x = 0 + 7
4x = 0 + 7

Combine like terms: 0 + 7 = 7
4x = 7

Add '-4x' to each side of the equation.
4x + -4x = 7 + -4x

Combine like terms: 4x + -4x = 0
0 = 7 + -4x

Simplifying
0 = 7 + -4x

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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