Ln(x)+ln(3x-1)=0

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Solution for Ln(x)+ln(3x-1)=0 equation: 


Simplifying
Ln(x) + ln(3x + -1) = 0

Multiply nL * x
nxL + ln(3x + -1) = 0

Reorder the terms:
nxL + ln(-1 + 3x) = 0
nxL + (-1 * ln + 3x * ln) = 0
nxL + (-1ln + 3lnx) = 0

Reorder the terms:
-1ln + 3lnx + nxL = 0

Solving
-1ln + 3lnx + nxL = 0

Solving for variable 'l'.

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

Add '-1nxL' to each side of the equation.
-1ln + 3lnx + nxL + -1nxL = 0 + -1nxL

Combine like terms: nxL + -1nxL = 0
-1ln + 3lnx + 0 = 0 + -1nxL
-1ln + 3lnx = 0 + -1nxL
Remove the zero:
-1ln + 3lnx = -1nxL

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

Factor out the Greatest Common Factor (GCF), 'n'.
n(-1l + 3lx + xL) = 0


Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Add '-1n' to each side of the equation.
n + -1n = 0 + -1n
Remove the zero:
0 = -1n

Simplifying
0 = -1n

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 '(-1l + 3lx + xL)' equal to zero and attempt to solve:

Simplifying
-1l + 3lx + xL = 0

Solving
-1l + 3lx + xL = 0

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

Add '-1xL' to each side of the equation.
-1l + 3lx + xL + -1xL = 0 + -1xL

Combine like terms: xL + -1xL = 0
-1l + 3lx + 0 = 0 + -1xL
-1l + 3lx = 0 + -1xL
Remove the zero:
-1l + 3lx = -1xL

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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