4=2ln(x-400)-8

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Solution for 4=2ln(x-400)-8 equation:


Simplifying
4 = 2ln(x + -400) + -8

Reorder the terms:
4 = 2ln(-400 + x) + -8
4 = (-400 * 2ln + x * 2ln) + -8
4 = (-800ln + 2lnx) + -8

Reorder the terms:
4 = -8 + -800ln + 2lnx

Solving
4 = -8 + -800ln + 2lnx

Solving for variable 'l'.

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

Add '800ln' to each side of the equation.
4 + 800ln = -8 + -800ln + 800ln + 2lnx

Combine like terms: -800ln + 800ln = 0
4 + 800ln = -8 + 0 + 2lnx
4 + 800ln = -8 + 2lnx

Add '-2lnx' to each side of the equation.
4 + 800ln + -2lnx = -8 + 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
4 + 800ln + -2lnx = -8 + 0
4 + 800ln + -2lnx = -8

Add '-4' to each side of the equation.
4 + 800ln + -4 + -2lnx = -8 + -4

Reorder the terms:
4 + -4 + 800ln + -2lnx = -8 + -4

Combine like terms: 4 + -4 = 0
0 + 800ln + -2lnx = -8 + -4
800ln + -2lnx = -8 + -4

Combine like terms: -8 + -4 = -12
800ln + -2lnx = -12

Reorder the terms:
12 + 800ln + -2lnx = -12 + 12

Combine like terms: -12 + 12 = 0
12 + 800ln + -2lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + 400ln + -1lnx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(6 + 400ln + -1lnx)' equal to zero and attempt to solve: Simplifying 6 + 400ln + -1lnx = 0 Solving 6 + 400ln + -1lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 400ln + -6 + -1lnx = 0 + -6 Reorder the terms: 6 + -6 + 400ln + -1lnx = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 400ln + -1lnx = 0 + -6 400ln + -1lnx = 0 + -6 Combine like terms: 0 + -6 = -6 400ln + -1lnx = -6 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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