ln(4)+ln(x-8)=ln(14)

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Solution for ln(4)+ln(x-8)=ln(14) equation: 


Simplifying
ln(4) + ln(x + -8) = ln(14)

Reorder the terms for easier multiplication:
4ln + ln(x + -8) = ln(14)

Reorder the terms:
4ln + ln(-8 + x) = ln(14)
4ln + (-8 * ln + x * ln) = ln(14)
4ln + (-8ln + lnx) = ln(14)

Combine like terms: 4ln + -8ln = -4ln
-4ln + lnx = ln(14)

Reorder the terms for easier multiplication:
-4ln + lnx = 14ln

Solving
-4ln + lnx = 14ln

Solving for variable 'l'.

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

Add '-14ln' to each side of the equation.
-4ln + -14ln + lnx = 14ln + -14ln

Combine like terms: -4ln + -14ln = -18ln
-18ln + lnx = 14ln + -14ln

Combine like terms: 14ln + -14ln = 0
-18ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-18 + x) = 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 '(-18 + x)' equal to zero and attempt to solve:

Simplifying
-18 + x = 0

Solving
-18 + x = 0

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

Add '18' to each side of the equation.
-18 + 18 + x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + x = 0 + 18
x = 0 + 18

Combine like terms: 0 + 18 = 18
x = 18

Add '-1x' to each side of the equation.
x + -1x = 18 + -1x

Combine like terms: x + -1x = 0
0 = 18 + -1x

Simplifying
0 = 18 + -1x

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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