ln(x-4)+ln(2)=ln(18)

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Solution for ln(x-4)+ln(2)=ln(18) equation: 


Simplifying
ln(x + -4) + ln(2) = ln(18)

Reorder the terms:
ln(-4 + x) + ln(2) = ln(18)
(-4 * ln + x * ln) + ln(2) = ln(18)
(-4ln + lnx) + ln(2) = ln(18)

Reorder the terms for easier multiplication:
-4ln + lnx + 2ln = ln(18)

Reorder the terms:
-4ln + 2ln + lnx = ln(18)

Combine like terms: -4ln + 2ln = -2ln
-2ln + lnx = ln(18)

Reorder the terms for easier multiplication:
-2ln + lnx = 18ln

Solving
-2ln + lnx = 18ln

Solving for variable 'l'.

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

Add '-18ln' to each side of the equation.
-2ln + -18ln + lnx = 18ln + -18ln

Combine like terms: -2ln + -18ln = -20ln
-20ln + lnx = 18ln + -18ln

Combine like terms: 18ln + -18ln = 0
-20ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-20 + 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 '(-20 + x)' equal to zero and attempt to solve:

Simplifying
-20 + x = 0

Solving
-20 + x = 0

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

Add '20' to each side of the equation.
-20 + 20 + x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + x = 0 + 20
x = 0 + 20

Combine like terms: 0 + 20 = 20
x = 20

Add '-1x' to each side of the equation.
x + -1x = 20 + -1x

Combine like terms: x + -1x = 0
0 = 20 + -1x

Simplifying
0 = 20 + -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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