Ln(3x-1)=ln(14)

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Solution for Ln(3x-1)=ln(14) equation: 


Simplifying
Ln(3x + -1) = ln(14)

Reorder the terms:
nL(-1 + 3x) = ln(14)
(-1 * nL + 3x * nL) = ln(14)
(-1nL + 3nxL) = ln(14)

Reorder the terms for easier multiplication:
-1nL + 3nxL = 14ln

Solving
-1nL + 3nxL = 14ln

Solving for variable 'n'.

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

Add '-14ln' to each side of the equation.
-1nL + -14ln + 3nxL = 14ln + -14ln

Reorder the terms:
-14ln + -1nL + 3nxL = 14ln + -14ln

Combine like terms: 14ln + -14ln = 0
-14ln + -1nL + 3nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-14l + -1L + 3xL) = 0


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

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

Subproblem 2
Set the factor '(-14l + -1L + 3xL)' equal to zero and attempt to solve:

Simplifying
-14l + -1L + 3xL = 0

Reorder the terms:
-1L + -14l + 3xL = 0

Solving
-1L + -14l + 3xL = 0

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

Add 'L' to each side of the equation.
-1L + -14l + L + 3xL = 0 + L

Reorder the terms:
-1L + L + -14l + 3xL = 0 + L

Combine like terms: -1L + L = 0
0 + -14l + 3xL = 0 + L
-14l + 3xL = 0 + L
Remove the zero:
-14l + 3xL = L

Add '14l' to each side of the equation.
-14l + 14l + 3xL = L + 14l

Combine like terms: -14l + 14l = 0
0 + 3xL = L + 14l
3xL = L + 14l

Add '-3xL' to each side of the equation.
3xL + -3xL = L + 14l + -3xL

Combine like terms: 3xL + -3xL = 0
0 = L + 14l + -3xL

Simplifying
0 = L + 14l + -3xL

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}

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