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

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


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

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

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

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

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

Combine like terms: 7lnx + 2lnx = 9lnx
2ln + 9lnx = 0

Solving
2ln + 9lnx = 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(2 + 9x) = 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 '(2 + 9x)' equal to zero and attempt to solve:

Simplifying
2 + 9x = 0

Solving
2 + 9x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 9x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 9x = 0 + -2
9x = 0 + -2

Combine like terms: 0 + -2 = -2
9x = -2

Add '-9x' to each side of the equation.
9x + -9x = -2 + -9x

Combine like terms: 9x + -9x = 0
0 = -2 + -9x

Simplifying
0 = -2 + -9x

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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