ln(4+x)+ln(18)=ln(5)

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Solution for ln(4+x)+ln(18)=ln(5) equation: 


Simplifying
ln(4 + x) + ln(18) = ln(5)
(4 * ln + x * ln) + ln(18) = ln(5)
(4ln + lnx) + ln(18) = ln(5)

Reorder the terms for easier multiplication:
4ln + lnx + 18ln = ln(5)

Reorder the terms:
4ln + 18ln + lnx = ln(5)

Combine like terms: 4ln + 18ln = 22ln
22ln + lnx = ln(5)

Reorder the terms for easier multiplication:
22ln + lnx = 5ln

Solving
22ln + lnx = 5ln

Solving for variable 'l'.

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

Add '-5ln' to each side of the equation.
22ln + -5ln + lnx = 5ln + -5ln

Combine like terms: 22ln + -5ln = 17ln
17ln + lnx = 5ln + -5ln

Combine like terms: 5ln + -5ln = 0
17ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(17 + 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 '(17 + x)' equal to zero and attempt to solve:

Simplifying
17 + x = 0

Solving
17 + x = 0

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

Add '-17' to each side of the equation.
17 + -17 + x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + x = 0 + -17
x = 0 + -17

Combine like terms: 0 + -17 = -17
x = -17

Add '-1x' to each side of the equation.
x + -1x = -17 + -1x

Combine like terms: x + -1x = 0
0 = -17 + -1x

Simplifying
0 = -17 + -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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