Ln(48.5)=ln(x-4)

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Solution for Ln(48.5)=ln(x-4) equation: 


Simplifying
Ln(48.5) = ln(x + -4)

Reorder the terms for easier multiplication:
48.5nL = ln(x + -4)

Reorder the terms:
48.5nL = ln(-4 + x)
48.5nL = (-4 * ln + x * ln)
48.5nL = (-4ln + lnx)

Solving
48.5nL = -4ln + lnx

Solving for variable 'n'.

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

Add '4ln' to each side of the equation.
4ln + 48.5nL = -4ln + 4ln + lnx

Combine like terms: -4ln + 4ln = 0
4ln + 48.5nL = 0 + lnx
4ln + 48.5nL = lnx

Add '-1lnx' to each side of the equation.
4ln + -1lnx + 48.5nL = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
4ln + -1lnx + 48.5nL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(4l + -1lx + 48.5L) = 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 '(4l + -1lx + 48.5L)' equal to zero and attempt to solve:

Simplifying
4l + -1lx + 48.5L = 0

Reorder the terms:
48.5L + 4l + -1lx = 0

Solving
48.5L + 4l + -1lx = 0

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

Add '-48.5L' to each side of the equation.
48.5L + 4l + -48.5L + -1lx = 0 + -48.5L

Reorder the terms:
48.5L + -48.5L + 4l + -1lx = 0 + -48.5L

Combine like terms: 48.5L + -48.5L = 0.0
0.0 + 4l + -1lx = 0 + -48.5L
4l + -1lx = 0 + -48.5L
Remove the zero:
4l + -1lx = -48.5L

Add '-4l' to each side of the equation.
4l + -4l + -1lx = -48.5L + -4l

Combine like terms: 4l + -4l = 0
0 + -1lx = -48.5L + -4l
-1lx = -48.5L + -4l

Add 'lx' to each side of the equation.
-1lx + lx = -48.5L + -4l + lx

Combine like terms: -1lx + lx = 0
0 = -48.5L + -4l + lx

Simplifying
0 = -48.5L + -4l + lx

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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